On nonlinear Schrodinger equations with random initial data

被引：2

作者：

Duerinckx, Mitia ^{[1
,2
]}

机构：

[1] Univ Paris Saclay, Lab Math Orsay, CNRS, F-91400 Orsay, France

[2] Univ Libre Bruxelles, Dept Math, B-1050 Brussels, Belgium

来源：

MATHEMATICS IN ENGINEERING | 2022年 / 4卷 / 04期

关键词：

NLS equations; random initial data; random fields; statistical spatial homogeneity; global well-posedness; GLOBAL CAUCHY-PROBLEM;

D O I：

10.3934/mine.2022030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note is concerned with the global well-posedness of nonlinear Schrodinger equations in the continuum with spatially homogeneous random initial data.

引用

页码：1 / 14

页数：14

共 50 条

[1] Weakly nonlinear Schrodinger equation with random initial data
Lukkarinen, Jani
Spohn, Herbert
[J]. INVENTIONES MATHEMATICAE, 2011, 183 (01) : 79 - 188
[2] ON NONLINEAR SCHRODINGER EQUATIONS WITH ALMOST PERIODIC INITIAL DATA
Oh, Tadahiro
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (02) : 1253 - 1270
[3] SOLUTIONS TO NONLINEAR SCHRODINGER EQUATIONS FOR SPECIAL INITIAL DATA
Wada, Takeshi
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[4] Semiclassical nonlinear Schrodinger equations with potential and focusing initial data
Carles, R
Miller, L
[J]. OSAKA JOURNAL OF MATHEMATICS, 2004, 41 (03) : 693 - 725
[5] Weakly Nonlinear Wave Equations with Random Initial Data
Spohn, Herbert
[J]. PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL III: INVITED LECTURES, 2010, : 2128 - 2143
[6] On the Whitham equations for the defocusing nonlinear Schrodinger equation with step initial data
Biondini, G.
Kodama, Y.
[J]. JOURNAL OF NONLINEAR SCIENCE, 2006, 16 (05) : 435 - 481
[7] On the Whitham Equations for the Defocusing Nonlinear Schrodinger Equation with Step Initial Data
G. Biondini
Y. Kodama
[J]. Journal of Nonlinear Science, 2006, 16 : 435 - 481
[8] EXPLICIT SOLUTIONS FOR A SYSTEM OF NONLINEAR SCHRODINGER EQUATIONS WITH DELTA FUNCTIONS AS INITIAL DATA
Doi, Kazuyuki
Shimizu, Shoji
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2019, 32 (5-6) : 359 - 367
[9] GLOBAL EXISTENCE FOR THE DEFOCUSING NONLINEAR SCHRODINGER EQUATIONS WITH LIMIT PERIODIC INITIAL DATA
Oh, Tadahiro
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (04) : 1563 - 1580
[10] Pathological Set of Initial Data for Scaling-Supercritical Nonlinear Schrodinger Equations
Camps, Nicolas
Gassot, Louise
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (15) : 13214 - 13254

← 1 2 3 4 5 →