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Deconvolutional determination of the nonlinearity in a semilinear wave equation
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2025
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Nicholas Hu
Rowan Killip
Monica Vişan
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Determination of Schrödinger nonlinearities from the scattering map
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2024
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Rowan Killip
Jason Murphy
Monica Vișan
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PDF
Chat
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Global well-posedness and equicontinuity for mKdV in modulation spaces
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2024
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Saikatul Haque
Rowan Killip
Monica Vişan
Yunfeng Zhang
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Global well-posedness for the derivative nonlinear Schrödinger equation in $L^{2}(\R)$
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2024
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Benjamin Harrop‐Griffiths
Rowan Killip
Maria Ntekoume
Monica Vişan
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PDF
Chat
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The nonlinear Schr\"odinger equation with sprinkled nonlinearity
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2024
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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PDF
Chat
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Bounded solutions of KdV: Uniqueness and the loss of almost periodicity
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2024
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Andreia Chapouto
Rowan Killip
Monica Vişan
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PDF
Chat
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The modified Korteweg--de Vries limit of the Ablowitz--Ladik system
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2024
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Rowan Killip
Zhimeng Ouyang
Monica Vişan
Lei Wu
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Sharp well-posedness for the Benjamin–Ono equation
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2024
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Rowan Killip
Thierry Laurens
Monica Vişan
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PDF
Chat
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Dispersive decay for the mass-critical nonlinear Schr\"odinger equation
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2024
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Chenjie Fan
Rowan Killip
Monica Vişan
Zehua Zhao
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PDF
Chat
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Determination of Schr\"odinger nonlinearities from the scattering map
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2024
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Rowan Killip
Jason Murphy
Monica Vișan
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Invariant measures for mKdV and KdV in infinite volume
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2024
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Justin Forlano
Rowan Killip
Monica Vişan
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PDF
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Sharp well-posedness for the cubic NLS and mKdV in
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2024
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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The modified Korteweg–de Vries limit of the Ablowitz–Ladik system
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2024
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Rowan Killip
Zhimeng Ouyang
Monica Vişan
Lei Wu
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PDF
Chat
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Remarks on countable subadditivity
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2023
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Loukas Grafakos
Monica Vişan
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PDF
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On the well-posedness problem for the derivative nonlinear Schrödinger equation
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2023
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Rowan Killip
Maria Ntekoume
Monica Vişan
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PDF
Chat
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Continuum limit for the Ablowitz–Ladik system
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2023
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Rowan Killip
Zhimeng Ouyang
Monica Vişan
Lei Wu
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Sharp well-posedness for the Benjamin--Ono equation
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2023
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Rowan Killip
Thierry Laurens
Monica Vişan
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Remarks on countable subadditivity
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2023
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Loukas Grafakos
Monica Vişan
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Deconvolutional determination of the nonlinearity in a semilinear wave equation
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2023
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Nicholas Hu
Rowan Killip
Monica Vişan
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Scaling-critical well-posedness for continuum Calogero-Moser models
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2023
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Rowan Killip
Thierry Laurens
Monica Vişan
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The scattering map determines the nonlinearity
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2022
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Rowan Killip
Jason Murphy
Monica Vişan
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PDF
Chat
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Orbital Stability of KdV Multisolitons in $$H^{-1}$$
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2022
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Rowan Killip
Monica Vişan
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PDF
Chat
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Large-Data Equicontinuity for the Derivative NLS
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2022
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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Global well-posedness for the derivative nonlinear Schrödinger equation in $L^2(\mathbb{R})$
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2022
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Benjamin Harrop‐Griffiths
Rowan Killip
Maria Ntekoume
Monica Vişan
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Bounded solutions of KdV: uniqueness and the loss of almost periodicity
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2022
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Andreia Chapouto
Rowan Killip
Monica Vişan
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The scattering map determines the nonlinearity
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2022
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Rowan Killip
Jason Murphy
Monica Vișan
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Continuum limit for the Ablowitz--Ladik system
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2022
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Rowan Killip
Zhimeng Ouyang
Monica Vişan
Lei Wu
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Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$
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2021
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Bjoern Bringmann
Rowan Killip
Monica Vişan
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Large-data equicontinuity for the derivative NLS
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2021
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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PDF
Chat
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Microscopic conservation laws for integrable lattice models
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2021
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2
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2021
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold
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2021
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Rowan Killip
Jason Murphy
Monica Vişan
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Large-data equicontinuity for the derivative NLS
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2021
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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On the well-posedness problem for the derivative nonlinear Schrödinger equation
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2021
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Rowan Killip
Maria Ntekoume
Monica Vişan
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Microscopic conservation laws for integrable lattice models
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2020
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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Orbital stability of KdV multisolitons in $H^{-1}$
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2020
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Rowan Killip
Monica Vişan
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Cubic-quintic NLS: scattering beyond the virial threshold
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2020
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Rowan Killip
Jason Murphy
Monica Vişan
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PDF
Chat
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Invariance of white noise for KdV on the line
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2020
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Rowan Killip
Jason Murphy
Monica Vişan
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Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$
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2020
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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Invariant Measures for Integrable Spin Chains and an Integrable Discrete Nonlinear Schrödinger Equation
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2020
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Yannis Angelopoulos
Rowan Killip
Monica Vişan
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Microscopic conservation laws for integrable lattice models
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2020
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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+
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Orbital stability of KdV multisolitons in $H^{-1}$
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2020
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Rowan Killip
Monica Vişan
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Cubic-quintic NLS: scattering beyond the virial threshold
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2020
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Rowan Killip
Jason Murphy
Monica Vişan
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Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$
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2020
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Benjamin Harrop‐Griffiths
Rowan Killip
Monica Vişan
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KdV is well-posed in $H^{-1}$
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2019
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Rowan Killip
Monica Vişan
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Invariance of white noise for KdV on the line
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2019
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Rowan Killip
Jason Murphy
Monica Vişan
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Mass-critical inverse Strichartz theorems for 1d Schrödinger operators
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2019
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Casey Jao
Rowan Killip
Monica Vişan
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Almost sure scattering for the energy-critical NLS with radial data below H1(R4)
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2019
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Rowan Killip
Jason Murphy
Monica Vişan
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Global well-posedness for the fifth-order KdV equation in $H^{-1}(\mathbb{R})$
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2019
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Bjoern Bringmann
Rowan Killip
Monica Vişan
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Invariance of white noise for KdV on the line
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2019
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Rowan Killip
Jason Murphy
Monica Vişan
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PDF
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The radial mass-subcritical NLS in negative order Sobolev spaces
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2018
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Rowan Killip
Satoshi Masaki
Jason Murphy
Monica Vişan
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Invariant measures for integrable spin chains and integrable discrete NLS
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2018
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Yannis Angelopoulos
Rowan Killip
Monica Vişan
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The radial mass-subcritical NLS in negative order Sobolev spaces
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2018
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Rowan Killip
Satoshi Masaki
Jason Murphy
Monica Vişan
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PDF
Chat
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Low regularity conservation laws for integrable PDE
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2018
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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KdV is wellposed in $H^{-1}$
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2018
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Rowan Killip
Monica Vişan
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PDF
Chat
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The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions
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2018
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Rowan Killip
Jason Murphy
Monica Vişan
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Sonin's argument, the shape of solitons, and the most stably singular matrix
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2018
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Rowan Killip
Monica Vişan
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+
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Invariant measures for integrable spin chains and integrable discrete NLS
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2018
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Yannis Angelopoulos
Rowan Killip
Monica Vişan
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+
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The radial mass-subcritical NLS in negative order Sobolev spaces
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2018
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Rowan Killip
Satoshi Masaki
Jason Murphy
Monica Vişan
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+
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KdV is wellposed in $H^{-1}$
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2018
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Rowan Killip
Monica Vișan
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PDF
Chat
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Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
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2017
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Rowan Killip
C. Miao
Monica Vişan
Zhang Jian
Jiqiang Zheng
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PDF
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Symplectic Non-Squeezing for the Cubic NLS on the Line
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2017
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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PDF
Chat
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Large data mass-subcritical NLS: critical weighted bounds imply scattering
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2017
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Rowan Killip
Satoshi Masaki
Jason Murphy
Monica Vişan
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The energy-critical NLS with inverse-square potential
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2017
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Rowan Killip
Changxing Miao
Monica Vişan
Junyong Zhang
Jiqiang Zheng
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PDF
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Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$ R 3
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2017
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Rowan Killip
Tadahiro Oh
Oana Pocovnicu
Monica Vişan
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PDF
Chat
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The focusing cubic NLS with inverse-square potential in three space dimensions
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2017
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Rowan Killip
Jason Murphy
Monica Vişan
Jiqiang Zheng
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Almost sure scattering for the energy-critical NLS with radial data below $H^1(\mathbb{R}^4)$
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2017
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Rowan Killip
Jason Murphy
Monica Vişan
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+
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Low regularity conservation laws for integrable PDE
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2017
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Rowan Killip
Monica Vişan
Xiao-Yi Zhang
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+
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The initial-value problem for the cubic-quintic NLS with non-vanishing boundary conditions
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2017
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Rowan Killip
Jason Murphy
Monica Vişan
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PDF
Chat
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The final-state problem for the cubic-quintic NLS with nonvanishing boundary conditions
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2016
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Rowan Killip
Jason Murphy
Monica Vişan
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Large data mass-subcritical NLS: critical weighted bounds imply scattering
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2016
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Rowan Killip
Satoshi Masaki
Jason Murphy
Monica Vişan
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PDF
Chat
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Scale-invariant Strichartz estimates on tori and applications
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2016
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Rowan Killip
Monica Vişan
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The focusing cubic NLS with inverse-square potential in three space dimensions
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2016
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Rowan Killip
Jason Murphy
Monica Vişan
Jiqiang Zheng
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+
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Symplectic non-squeezing for the cubic NLS on the line
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2016
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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+
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Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on $\R^2$
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2016
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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PDF
Chat
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Quintic NLS in the exterior of a strictly convex obstacle
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2016
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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PDF
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The Focusing Cubic NLS on Exterior Domains in Three Dimensions
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2016
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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+
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Large data mass-subcritical NLS: critical weighted bounds imply scattering
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2016
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Rowan Killip
Satoshi Masaki
Jason Murphy
Monica Vişan
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PDF
Chat
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Riesz Transforms Outside a Convex Obstacle
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2015
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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Multipliers and Riesz transforms for the Schr\"odinger operator with inverse-square potential
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2015
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Rowan Killip
C. Miao
Monica Vişan
J. Zhang
Jiqiang Zheng
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The focusing cubic NLS on exterior domains in three dimensions
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2015
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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+
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The energy-critical NLS with inverse-square potential
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2015
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Rowan Killip
C. Miao
Monica Vişan
J. Zhang
Jiqiang Zheng
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Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
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2015
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Rowan Killip
Cong-rong Miao
Monica Vişan
J. Zhang
Jiqiang Zheng
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Inverse Strichartz estimates for 1d Schrödinger operators with potentials of quadratic growth
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2015
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Casey Jao
Rowan Killip
Monica Vişan
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+
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Solitons and scattering for the cubic-quintic nonlinear Schr\"odinger equation on $\mathbb{R}^3$
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2014
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Rowan Killip
Tadahiro Oh
Oana Pocovnicu
Monica Vişan
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Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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Long-time Strichartz estimates and applications
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Appendix A: Young’s inequality and interpolation
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Well-posedness for nonlinear dispersive equations
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Strichartz estimates and small data for the nonlinear Schrödinger equation
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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Stationary phase and dispersive estimates
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Stability theory for the energy-critical NLS
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Functions of bounded p-variation
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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An inverse Strichartz inequality
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Dispersive Equations and Nonlinear Waves
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Convolution of measures on hypersurfaces, bilinear estimates, and local smoothing
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Existence of minimal blowup solutions and their properties
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Schrödinger maps
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Scale invariant Strichartz estimates on tori and applications
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2014
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Rowan Killip
Monica Vişan
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+
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Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on $\mathbb{R}^3$
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2014
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Rowan Killip
Tadahiro Oh
Oana Pocovnicu
Monica Vişan
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+
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Geometric pde’s
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Appendix B: Bessel functions
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
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Dispersive and Strichartz estimates
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2014
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Herbert Koch
Daniel Tataru
Monica Vişan
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+
PDF
Chat
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Blowup behaviour for the nonlinear Klein–Gordon equation
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2013
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Rowan Killip
Betsy Stovall
Monica Vişan
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PDF
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Global well-posedness and scattering for the defocusing quintic NLS in three dimensions
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2012
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Rowan Killip
Monica Vişan
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+
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Harmonic analysis outside a convex obstacle
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2012
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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+
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Blowup behaviour for the nonlinear Klein--Gordon equation
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2012
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Rowan Killip
Betsy Stovall
Monica Vişan
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+
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Quintic NLS in the exterior of a strictly convex obstacle
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2012
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
|
+
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Riesz transforms outside a convex obstacle
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2012
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
|
+
PDF
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Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions
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2012
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Rowan Killip
Tadahiro Oh
Oana Pocovnicu
Monica Vişan
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Blowup behaviour for the nonlinear Klein--Gordon equation
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2012
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Rowan Killip
Betsy Stovall
Monica Vişan
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+
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Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schr\"odinger equations with non-vanishing boundary conditions
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2011
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Rowan Killip
Tadahiro Oh
Oana Pocovnicu
Monica Vişan
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On the mass-critical generalized KdV equation
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2011
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Rowan Killip
Soonsik Kwon
Shuanglin Shao
Monica Vişan
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PDF
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Scattering for the cubic Klein–Gordon equation in two space dimensions
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2011
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Rowan Killip
Betsy Stovall
Monica Vişan
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+
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Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions
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2011
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Monica Vişan
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+
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Global well-posedness and scattering for the defocusing quintic NLS in three dimensions
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2011
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Rowan Killip
Monica Vişan
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PDF
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The defocusing energy-supercritical nonlinear wave equation in three space dimensions
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2011
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Rowan Killip
Monica Vişan
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+
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Smooth solutions to the nonlinear wave equation can blow up on Cantor sets
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2011
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Rowan Killip
Monica Vişan
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+
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Global well-posedness of the Gross--Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions
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2011
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Rowan Killip
Tadahiro Oh
Oana Pocovnicu
Monica Vişan
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+
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Global well-posedness and scattering for the defocusing quintic NLS in three dimensions
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2011
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Rowan Killip
Monica Vişan
|
+
PDF
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The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
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2010
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Rowan Killip
Monica Vişan
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+
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Global well-posedness and scattering for the defocusing cubic NLS in four dimensions
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2010
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Monica Vişan
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+
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Scattering for the cubic Klein--Gordon equation in two space dimensions
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2010
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Rowan Killip
Betsy Stovall
Monica Vişan
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Energy-Supercritical NLS: Critical<i>[Hdot]</i><sup><i>s</i></sup>-Bounds Imply Scattering
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2010
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Rowan Killip
Monica Vişan
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The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
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2010
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Rowan Killip
Monica Vişan
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+
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The defocusing energy-supercritical nonlinear wave equation in three space dimensions
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2010
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Rowan Killip
Monica Vişan
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+
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The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
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2010
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Rowan Killip
Monica Vişan
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+
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Scattering for the cubic Klein--Gordon equation in two space dimensions
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2010
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Rowan Killip
Betsy Stovall
Monica Vişan
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+
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The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
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2010
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Rowan Killip
Monica Vişan
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+
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Global well-posedness and scattering for the defocusing cubic NLS in four dimensions
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2010
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Monica Vişan
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+
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The defocusing energy-supercritical nonlinear wave equation in three space dimensions
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2010
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Rowan Killip
Monica Vişan
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+
PDF
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The cubic nonlinear Schrödinger equation in two dimensions with radial data
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2009
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Rowan Killip
Terence Tao
Monica Vişan
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+
PDF
Chat
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Energy-Critical NLS with Quadratic Potentials
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2009
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
|
+
PDF
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Global well-posedness and scattering for a class of nonlinear Schröodinger equations below the energy space
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2009
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Monica Vişan
Xiaoyi Zhang
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+
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On the mass-critical generalized KdV equation
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2009
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Rowan Killip
Soonsik Kwon
Shuanglin Shao
Monica Vişan
|
+
PDF
Chat
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Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS
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2009
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Rowan Killip
Dong Li
Monica Vişan
Xiaoyi Zhang
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PDF
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The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
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2008
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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+
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The focusing energy-critical nonlinear Schr\
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2008
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Rowan Killip
Monica Vişan
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+
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Energy-supercritical NLS: critical $\dot H^s$-bounds imply scattering
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2008
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Rowan Killip
Monica Vişan
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+
PDF
Chat
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Minimal-mass blowup solutions of the mass-critical NLS
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2008
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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+
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The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
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2008
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Rowan Killip
Monica Vişan
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+
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Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS
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2008
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Rowan Killip
Dong Li
Monica Vişan
Xiaoyi Zhang
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PDF
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Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$
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2008
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J. Colliander
Justin Holmer
Monica Vişan
Xiaoyi Zhang
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Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
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2007
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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+
PDF
Chat
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The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
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2007
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
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2007
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Monica Vişan
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Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
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2007
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E. Ryckman
Monica Vişan
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The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
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2007
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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The cubic nonlinear Schrödinger equation in two dimensions with radial data
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2007
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Rowan Killip
Terence Tao
Monica Vişan
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On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class
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2007
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Monica Vişan
Xiaoyi Zhang
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A Counterexample to Dispersive Estimates for Schrödinger Operators in Higher Dimensions
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2006
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Michael Goldberg
Monica Vişan
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Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\R$
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2006
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J. Colliander
Justin Holmer
Monica Vişan
X. Zhang
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Energy-critical NLS with quadratic potentials
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2006
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Rowan Killip
Monica Vişan
Xiaoyi Zhang
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Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space
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2006
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Monica Vişan
Xiaoyi Zhang
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On the blowup for the $L^2$-critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class
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2006
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Monica Vişan
Xiaoyi Zhang
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Minimal-mass blowup solutions of the mass-critical NLS
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2006
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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Global well-posedness and scattering for the mass-critical nonlinear Schrödinger equation for radial data in high dimensions
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2006
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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The nonlinear Schrödinger equation with combined power-type nonlinearities
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2005
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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The nonlinear Schr
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2005
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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Stability of energy-critical nonlinear Schr\"odinger equations in high dimensions
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2005
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Terence Tao
Monica Vişan
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The nonlinear Schrödinger equation with combined power-type nonlinearities
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2005
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Terence Tao
Monica Vişan
Xiaoyi Zhang
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Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in $\R^{1+4}$
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2005
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E. Ryckman
Monica Vişan
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The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
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2005
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Monica Vişan
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Stability of energy-critical nonlinear Schrödinger equations in high dimensions
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2005
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Terence Tao
Monica Vişan
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