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

页码：653 / 672

页数：20

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