Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation. (English) Zbl 1290.35241
Author’s abstract: We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger 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.{
©2013 American Institute of Physics}
©2013 American Institute of Physics}
Reviewer: Anthony D. Osborne (Keele)
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35B40 | Asymptotic behavior of solutions to PDEs |
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