Upper and lower time decay bounds for solutions of dissipative nonlinear schrodinger equations

Nakao Hayashi, Chunhua Li, Pavel I. Naumkin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We study the upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations in space dimensions n = 1; 2 or 3, where λ = λ1 +iλ2; λj R; j = 1; 2; λ2 < 0 and the subcritical order of nonlinearity where μ > 0 is small enough.

Original languageEnglish
Pages (from-to)2089-2104
Number of pages16
JournalCommunications on Pure and Applied Analysis
Volume16
Issue number6
DOIs
Publication statusPublished - 2017 Nov
Externally publishedYes

Keywords

  • Dissipative NLS equations
  • Large time asymptotics
  • Sharp time decay

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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