Global Existence and Long-time Behaviour of Nonlinear Equation of Schrödinger type

Abstract

In this paper we study a mixed problem for the nonlinear Schrödinger equation globally that have a nonlinear adding, in which the coefficient is a generalized function. Here is proved a global solvability theorem of the considered problem with use of the general solvability theorem of the article [30]. Furthermore here is investigated also the behaviour of the solution of the studied problem.

19 pages, AMS Journal style

References in corpus (2)

• On a novel integrable generalization of the nonlinear Schrödinger equation
• On Nonlinear Parabolic Equation in Nondivergent Form with Implicit Degeneration and Embedding Theorems