Unstable Ground State of Nonlinear Klein-Gordon Equations
- 1 August 1985
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 290 (2) , 701-710
- https://doi.org/10.2307/2000308
Abstract
In this paper we prove the instability of the ground state, i.e. least energy steady-state solution of nonlinear Klein-Gordon equations with space dimension $n \geqslant 3$.
Keywords
This publication has 8 references indexed in Scilit:
- Nonlinear invariant wave equationsPublished by Springer Nature ,2005
- Uniform estimates for solutions of nonlinear Klein-Gordon equationsJournal of Functional Analysis, 1985
- Stable standing waves of nonlinear Klein-Gordon equationsCommunications in Mathematical Physics, 1983
- On uniqueness of weak solutions to semilinear wave equationsCommunications in Partial Differential Equations, 1982
- Existence of solitary waves in higher dimensionsCommunications in Mathematical Physics, 1977
- Saddle points and instability of nonlinear hyperbolic equationsIsrael Journal of Mathematics, 1975
- On continuity of functions with values in various Banach spacesPacific Journal of Mathematics, 1966
- Comments on Nonlinear Wave Equations as Models for Elementary ParticlesJournal of Mathematical Physics, 1964