2D-defocusing nonlinear Schrödinger equation with random data on irrational tori

Chenjie Fan, Yumeng Ou, Gigliola Staffilani, Hong Wang

Type: Article

Publication Date: 2020-05-07

Citations: 7

DOI: https://doi.org/10.1007/s40072-020-00174-7

View Publication

Download PDF

Locations

Stochastic Partial Differential Equations Analysis and Computations - View
arXiv (Cornell University) - View - PDF
DSpace@MIT (Massachusetts Institute of Technology) - View - PDF

Similar Works

Action	Title	Year	Authors
+	2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori	2019	Chenjie Fan Yumeng Ou Gigliola Staffilani Hong Wang
+ PDF Chat	Invariant measures for the defocusing Nonlinear Schrödinger equation	2008	Nikolay Tzvetkov
+	Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data	2021	Martin Spitz
+	Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation	2021	Jia Shen Avy Soffer Yifei Wu
+ PDF Chat	Almost Sure Well-Posedness and Scattering of the 3D Cubic Nonlinear Schrödinger Equation	2022	Jia Shen Avy Soffer Yifei Wu
+	Invariant measures for the defocusing NLS	2007	Nikolay Tzvetkov
+	Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations	2017	Tadahiro Oh Laurent Thomann
+ PDF Chat	Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data	2022	Martin Spitz
+	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb R^d$, $d \geq 3$	2014	Árpád Bényi Tadahiro Oh Oana Pocovnicu
+	Invariant measure for the Schrödinger equation on the real line	2015	Federico Cacciafesta Anne-Sophie de Suzzoni
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation	2018	Benjamin Dodson Jonas Lührmann Dana Mendelson
+ PDF Chat	Global well-posedness of the energy-critical stochastic nonlinear Schr\"odinger equation on the three-dimensional torus	2024	Guopeng Li Mamoru Okamoto Liying Tao
+	Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on $\mathbb{R}^3\times\mathbb{T}$	2023	Luo Yongming
+	On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb R^d$, $d \geq 3$	2014	Árpád Bényi Tadahiro Oh Oana Pocovnicu
+ PDF Chat	The nonlinear Schrödinger equation on tori: Integrating harmonic analysis, geometry, and probability	2015	Andrea R. Nahmod
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schr\"odinger equation	2018	Benjamin Dodson Jonas Lührmann Dana Mendelson
+ PDF Chat	Invariant Gibbs measures for the 2-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math> defocusing nonlinear wave equations	2020	Tadahiro Oh Laurent Thomann
+ PDF Chat	New invariant surface measures for the cubic Schr\"odinger equation	2025	Jean-Baptiste Castéras Ana Bela Cruzeiro Annie Millet
+	Invariant measure for the Schr\"odinger equation on the real line	2014	Federico Cacciafesta Anne-Sophie de Suzzoni
+	Invariant measure for the Schrödinger equation on the real line	2014	Federico Cacciafesta Anne-Sophie de Suzzoni

Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three	2021	Yu Deng Andrea R. Nahmod Haitian Yue
+	The Euclidean $\phi^{4}_{2}$ theory as a limit of an interacting Bose gas	2024	Jürg Fröhlich Antti Knowles Benjamin Schlein Vedran Sohinger
+	Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $ \mathbb{R}\times\mathbb{T}^2 $	2021	Serena Federico Gigliola Staffilani
+	The mean-field limit of quantum Bose gases at positive temperature	2020	Jürg Fröhlich Antti Knowles Benjamin Schlein Vedran Sohinger
+	Sharp Strichartz estimates for some variable coefficient Schr\"{o}dinger operators on $\mathbb{R}\times\mathbb{T}^2$	2021	Serena Federico Gigliola Staffilani
+	Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity I: Measures	2020	Bjoern Bringmann
+	The mean-field limit of quantum Bose gases at positive temperature	2021	Jürg Fröhlich Antti Knowles Benjamin Schlein Vedran Sohinger

Works Cited by This (11)

Action	Title	Year	Authors
+	The number of integral points on arcs and ovals	1989	Enrico Bombieri Jonathan Pila
+ PDF Chat	Periodic nonlinear Schrödinger equation and invariant measures	1994	Jean Bourgain
+ PDF Chat	Construction of a Gibbs measure associated to the periodic Benjamin–Ono equation	2009	Nikolay Tzvetkov
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrodinger equations, II. The KdV-equation	1993	Jean Bourgain
+	Invariant measures for the2D-defocusing nonlinear Schrödinger equation	1996	Jean Bourgain
+	Strichartz estimates for the Schrödinger equation on irrational tori	2017	Yu Deng Pierre Germain Larry Guth
+ PDF Chat	The proof of the l^2 Decoupling Conjecture	2015	Jean Bourgain Ciprian Demeter
+	Concerning the pathological set in the context of probabilistic well-posedness	2020	Chenmin Sun Nikolay Tzvetkov
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain