Decay estimates for Schrödinger equations

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We prove global existence and optimal decay estimates for classical solutions with small initial data for nonlinear nonlocal Schrödinger equations. The Laplacian in the Schrödinger equation can be replaced by an operator corresponding to a non-degenerate quadratic form of arbitrary signature. In particular, the Davey-Stewartson system is included in the the class of equations we discuss.

Original languageEnglish (US)
Pages (from-to)101-108
Number of pages8
JournalCommunications In Mathematical Physics
Volume127
Issue number1
DOIs
StatePublished - Jan 1 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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