Type: Article

Inhomogeneous Neumann initial–boundary value problem for the nonlinear Schrödinger equation

Kaikina, E. I.;

Abstract:

We consider the inhomogeneous Neumann 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.