On energy stability for the coupled nonlinear wave and Schrodinger systems

被引：0

作者：

Ma, Li ^{[1
]}

Liu, Haihong ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Yunnan Normal Univ, Dept Math Inst, Kunming 650092, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Coupled wave system; Schrodinger system; Uniqueness; Energy stability; PARTIALLY COHERENT SOLITONS; EQUATIONS;

D O I：

10.1016/j.na.2010.02.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that regular solutions to the coupled nonlinear wave and Schrodinger systems with coercive polynomial nonlinearities are unique among distributional solutions enjoying the energy inequality. The arguments also yield the stabilities of classical solutions of the evolution systems in the energy norm. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4541 / 4550

页数：10

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