Global existence of L2 solutions to the Zakharov equations with additive noises

被引：0
|
作者：
Tsutsumi, Yoshio [1 ]
机构：
[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 217卷
关键词：
Zakharov equations with additive noise; Global existence of solutions; Fourier restriction norm method; DE-VRIES EQUATION; CAUCHY-PROBLEM; DRIVEN;
D O I：
10.1016/j.na.2021.112709
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the global existence of L-2 solutions for the Cauchy problem of the Zakharov equations with additive noises in one spatial dimension. For the proof, we use the argument by Colliander, Holmer and Tzirakis, which was applied to the deterministic Zakharov equations. Our proof is an extension of their proof to the problem with stochastic external forces. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：12
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