Instability of nonlinear bound states

Jalal Shatah, Walter Strauss

Research output: Contribution to journalArticle

Abstract

We establish a sharp instability theorem for the bound states of lowest energy of the nonlinear Klein-Gordon equation, utt-{white left-pointing small triangle}u+f(u)=0, and the nonlinear Schrödinger equation, -iut-{white left-pointing small triangle}u+f(u)=0.

Original languageEnglish (US)
Pages (from-to)173-190
Number of pages18
JournalCommunications In Mathematical Physics
Volume100
Issue number2
DOIs
StatePublished - Jun 1 1985

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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