Type: Article

Stochastic Ginzburg-Landau equation on a half-line with Neumann type white-noise boundary conditions

Juárez-Campos, B., Kaikina, E.I., Ruiz-Paredes, H.F.;

Abstract:

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