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一类带乘性噪声的随机非线性Schrdinger方程的整体解(英文) 被引量：1

Global Existence for the Stochastic Nonlinear Schrdinger Equation With Multiplicative Noise
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摘要 本文讨论一类带乘性噪声的随机非线性Schrdinger方程,得到了该方程所对应的初值问题的解整体存在的一个充分条件,该条件与一个经典的椭圆方程的基态有关. This paper is concerned with the critical stochastic nonlinear Schrdinger equation with multiplicative noise.We derive a sufficient condition for global existence of solutions and this condition is in terms of a stationary solution.
作者 舒级 张健
机构地区 四川师范大学可视化计算与虚拟现实四川省重点实验室 四川师范大学数学与软件科学学院
出处 《数学进展》 CSCD 北大核心 2010年第3期313-318,共6页 Advances in Mathematics（China）
基金 supported by the NSFC(No.10926034,No.10771151) the Scientific Research Fund of Sichuan Provincial Education Department(No.08ZA041) the Scientific Research Found of Science and Technology Bureau of Sichuan Province
关键词 随机非线性Schrdinger方程 整体解 基态 乘性噪声 Gagliardo-Nirenberg不等式 stochastic nonlinear Schrdinger equation global existence ground state multiplicative noise Gagliardo-Nirenberg inequality
分类号 O175.27 [理学—基础数学]
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数学进展
2010年 第3期

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