title: Forced cubic Schrödinger equation with Robin boundary data: large-time asymptotics.
abstract: We consider the initial-boundary-value problem for the cubic nonlinear Schrödinger 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.
authors.affiliation: Instituto de Matemáticas , UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán, Mexico.
authors.forename: Elena I
authors.initials: EI
authors.lastname: Kaikina
keywords: cubic nonlinear Schrödinger equation; inhomogeneous initial-boundary-value problem; large-time asymptotics