Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$

Benjamin Harrop‐Griffiths, Rowan Killip, Monica Vişan

Type: Preprint

Publication Date: 2020-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.2003.05011

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Sharp well-posedness for the cubic NLS and mKdV in	2024	Benjamin Harrop‐Griffiths Rowan Killip Monica Vişan
+	Sharp well-posedness for the cubic NLS and mKdV in $H^s(\mathbb R)$	2020	Benjamin Harrop‐Griffiths Rowan Killip Monica Vişan
+	Improved interaction Morawetz inequalities for the cubic nonlinear Schr	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+	Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $\R^2$	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+ PDF Chat	Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations	2024	Mihaela Ifrim Daniel Tataru
+	Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schrödinger equation in $\R$	2007	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+	Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in $\R$	2007	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+ PDF Chat	Improved Interaction Morawetz Inequalities for the Cubic Nonlinear Schrödinger Equation on ℝ2	2007	J. Colliander Manoussos G. Grillakis Nikolaos Tzirakis
+ PDF Chat	Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions	2024	Mihaela Ifrim Daniel Tataru
+ PDF Chat	Scattering for defocusing cubic NLS under locally damped strong trapping	2025	David Lafontaine Boris Shakarov
+ PDF Chat	Global well-posedness and scattering for the defocusing septic one-dimensional NLS via new smoothing and almost Morawetz estimates	2024	Zachary Lee Xueying Yu
+	Global solutions for 1D cubic dispersive equations, Part III: the quasilinear Schrödinger flow	2023	Mihaela Ifrim Daniel Tataru
+	Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces	2018	Tadahiro Oh Yuzhao Wang
+	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2002	Michael Christ J. Colliander Terence Tao
+	Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials	2021	Xing Cheng Chang‐Yu Guo Zihua Guo Xian Liao Jia Shen
+ PDF Chat	Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation	2023	Jason Murphy Tim Van Hoose
+ PDF Chat	Energy and local energy bounds for the 1-d cubic NLS equation in $ H^{- \frac{1}{4}} $	2012	Herbert Koch Daniel Tataru
+	Regularity properties of the cubic nonlinear Schr\"odinger equation on the half line	2015	M. Burak Erdoğan Nikolaos Tzirakis
+	Regularity properties of the cubic nonlinear Schrödinger equation on the half line	2015	M. Burak Erdoğan Nikolaos Tzirakis
+ PDF Chat	Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations	2003	Michael Christ J. Colliander T. Tao

Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Norm Inflation for Nonlinear Schrödinger Equations in Fourier–Lebesgue and Modulation Spaces of Negative Regularity	2020	Divyang G. Bhimani Rémi Carles
+ PDF Chat	On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data	2021	Robert Schippa
+ PDF Chat	Unbounded growth of the energy density associated to the Schrödinger map and the binormal flow	2022	Valeria Banica Luis Vega
+	On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation	2023	Rana Badreddine
+ PDF Chat	Sharp well-posedness results of the Benjamin–Ono equation in $H^s (\mathbb{T}, \mathbb{R})$ and qualitative properties of its solutions	2023	Patrick Gérard Thomas Kappeler Peter Topalov
+ PDF Chat	KdV on an incoming tide	2021	Thierry Laurens
+ PDF Chat	A remark on the well-posedness of the modified KdV equation in <i>L</i><sup>2</sup>	2024	Justin Forlano

Works Cited by This (0)

Action	Title	Year	Authors