Variational Solution of Stochastic Schrodinger Equations With Power-Type Nonlinearity

被引：8
|
作者：
Keller, Diana [1 ]
Lisei, Hannelore [2 ]
机构：
[1] Univ Halle Wittenberg, Inst Math, Fac Nat Sci 2, D-06099 Halle, Saale, Germany
[2] Univ Babes Bolyai, Fac Math & Comp Sci, R-3400 Cluj Napoca, Romania
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2015年 / 33卷 / 04期
关键词：
Stochastic nonlinear Schrodinger equation; Power-type nonlinearity; Multiplicative noise; Variational solution; Galerkin method; 60H15; 35Q55; MULTIPLICATIVE NOISE; CLASSICAL-SOLUTIONS; CAUCHY-PROBLEM; DRIVEN;
D O I：
10.1080/07362994.2015.1029133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a Schrodinger problem with multiplicative Gaussian noise term and power-type nonlinearity on a bounded one-dimensional domain. In order to prove the existence and uniqueness of the variational solution, a further process will be introduced which allows to transform the stochastic nonlinear Schrodinger problem into a pathwise one. Galerkin approximations and compact embedding results are used.
引用
收藏
页码：653 / 672
页数：20
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