Strong instability of standing waves for nonlinear Klein-Gordon equation and Klein-Gordon-Zakharov system
نویسندگان
چکیده
The orbital instability of ground state standing waves eφω(x) for the nonlinear Klein-Gordon equation has been known in the domain of all frequencies ω for the supercritical case and for frequencies strictly less than a critical frequency ωc in the subcritical case. We prove the strong instability of ground state standing waves for the entire domain above. For the case when the frequency is equal to the critical frequency ωc we prove strong instability for all radially symmetric standing waves eiωctφ(x). We prove similar strong instability results for the Klein-Gordon-Zakharov system. ∗Research of the second author supported in part by NSF grant DMS-0245578
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