Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

Nakao Hayashi, Elena I. Kaikina, Takayoshi Ogawa

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in general space dimension n≥ 3. We present some results on global existence in time and uniquness of small solutions to integral equations associated to the original problem.

Original languageEnglish
Article number69
JournalPartial Differential Equations and Applications
Volume2
Issue number6
DOIs
Publication statusPublished - 2021 Dec

Keywords

  • Inhomogeneous Dirichlet-boundary value problem
  • Large time asymptotics
  • Nonlinear Schrödinger equation
  • Upper half-line

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