Type: Article

Forced cubic Schrödinger equation with Robin boundary data: large-time asymptotics

Kaikina, E. I.;

Abstract:

We consider the initial-boundary-value problem for the cubic nonlinear Schrodinger equation, formulated on a half-line with inhomogeneous Robin boundary data. We study traditionally important problems of the theory of nonlinear partial differential equations, such as the global-in-time existence of solutions to the initial-boundary-value problem and the asymptotic behaviour of solutions for large time.