## Instability of nonlinear bound states.(English)Zbl 0603.35007

Authors’ summary: We establish a sharp instability theorem for the bound states of lowest energy of the nonlinear Klein-Gordon equation, $$u_{tt}-\Delta u+f(u)=0$$, and the nonlinear Schrödinger equation, $$- iu_ t-\Delta u+f(u)=0$$.
Reviewer: U.F.Wodarzik

### MSC:

 35B35 Stability in context of PDEs 35Q99 Partial differential equations of mathematical physics and other areas of application 35G20 Nonlinear higher-order PDEs 35L70 Second-order nonlinear hyperbolic equations 35K55 Nonlinear parabolic equations
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### References:

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