Type: Article

Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrodinger equation

Kaikina, Elena I.;

Abstract:

We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrodinger equation, formulated on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time. (C) 2013 AIP Publishing LLC.