Instability of nonlinear bound states

Jalal Shatah; Walter Strauss

doi:10.1007/BF01212446

Instability of nonlinear bound states

Jalal Shatah, Walter Strauss

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English (US)
Pages (from-to)	173-190
Number of pages	18
Journal	Communications In Mathematical Physics
Volume	100
Issue number	2
DOIs	https://doi.org/10.1007/BF01212446
State	Published - Jun 1985

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Instability of nonlinear bound states",

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 Schr{\"o}dinger equation, -iut-{white left-pointing small triangle}u+f(u)=0.",

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Instability of nonlinear bound states

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