Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane

Nakao Hayashi, Elena I. Kaikina

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in the upper half plane. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to the problem by using the classical energy method and factorization techniques.

Original languageEnglish
Pages (from-to)279-306
Number of pages28
JournalNonlinear Analysis, Theory, Methods and Applications
Volume187
DOIs
Publication statusPublished - 2019 Oct

Keywords

  • Inhomogeneous initial–boundary value problem
  • Large time asymptotics
  • Nonlinear Schrödinger equation
  • Upper half plane

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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