The nonlinear Schrodinger equation with white noise dispersion

被引：43
作者：
de Bouard, Anne [3 ,4 ]
Debussche, Arnaud [1 ,2 ]
机构：
[1] IRMAR, F-35170 Bruz, France
[2] ENS Cachan, Antenne Bretagne, F-35170 Bruz, France
[3] CNRS, Ctr Math Appl, F-91128 Palaiseau, France
[4] Ecole Polytech, F-91128 Palaiseau, France
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 259卷 / 05期
关键词：
White noise dispersion; Strichartz estimates; Stochastic partial differential equation; Nonlinear fibre optics; MULTIPLICATIVE NOISE; MANAGEMENT;
D O I：
10.1016/j.jfa.2010.04.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under certain scaling the nonlinear Schrodinger equation with random dispersion converges to the nonlinear Schrodinger equation with white noise dispersion. The aim of this work is to prove that this latter equation is globally well posed in L-2 or H-1. The main ingredient is the generalization of the classical Strichartz estimates. Additionally, we justify rigorously the formal limit described above. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：1300 / 1321
页数：22
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