### 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) |
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Pages (from-to) | 173-190 |

Number of pages | 18 |

Journal | Communications In Mathematical Physics |

Volume | 100 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1985 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Shatah, J., & Strauss, W. (1985). Instability of nonlinear bound states.

*Communications In Mathematical Physics*,*100*(2), 173-190. https://doi.org/10.1007/BF01212446