A stochastic nonlinear Schrodinger problem in variational formulation

作者：Lisei Hannelore^*; Keller Diana^*

来源：Nodea-Nonlinear Differential Equations and Applications, 2016, 23(2): 22.

DOI：10.1007/s00030-016-0374-1

• Stochastic nonlinear Schrodinger equation
• Power-type nonlinearity
• Variational solution
• Galerkin method

This paper investigates a Schrodinger problem with power-type nonlinearity and Lipschitz-continuous diffusion term on a bounded onedimensional domain. Using the Galerkin method and a truncation, results from stochastic partial differelitial equatiolis can be applied and uniform a priori estimates :for the approximations are shown. Based on these boundedness results and the structure of the nonlinearity, it follows the unique existence of the variational solution.

• 出版日期2016-4