Type: Article

Stochastic nonlinear Schrödinger equation with brown-noise-boundary conditions of mixed type

Kaikina, E., Sotelo-García, N.;

Abstract:

We consider the stochastic nonlinear Schrödinger equations on the half-line with mixed boundary conditions containing Brownian noise. The main novelty of this work is a convenient framework for the analysis of such problems. Our approach allows us to establish the global existence and uniqueness of a solution to initial-boundary value problem with values in H1.