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 1985

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Bound States
triangles
Triangle
Nonlinear Klein-Gordon Equation
Klein-Gordon equation
nonlinear equations
Lowest
Nonlinear Equations
theorems
Energy
Theorem
energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Instability of nonlinear bound states. / Shatah, Jalal; Strauss, Walter.

In: Communications in Mathematical Physics, Vol. 100, No. 2, 06.1985, p. 173-190.

Research output: Contribution to journalArticle

Shatah, Jalal ; Strauss, Walter. / Instability of nonlinear bound states. In: Communications in Mathematical Physics. 1985 ; Vol. 100, No. 2. pp. 173-190.
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