Type: Article

Stochastic Landau-Ginzburg equation with white-noise boundary conditions of Robin type

Kaikina, Elena I.;

Abstract:

We consider stochastic nonlinear Landau–Ginzburg equations on the half-line with Robin-type white-noise boundary conditions. We establish the existence and uniqueness of a solution to the initial boundary value problem with values in an appropriate weighted space. We are also interested in the regularity behavior of the solution, especially near the origin.