Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Liliana Esquivel, Nakao Hayashi, Elena I. Kaikina

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We consider the inhomogeneous Dirichlet-boundary value problem for the cubic nonlinear Schrödinger equations on the half line. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to equations by using the classical energy method and factorization techniques

Original languageEnglish
Pages (from-to)1121-1152
Number of pages32
JournalJournal of Differential Equations
Volume266
Issue number2-3
DOIs
Publication statusPublished - 2019 Jan 15
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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