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- W1991650856 abstract "The orbital instability of ground state standing waves $e^{iomega t}phi_{omega}(x)$ 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 $omega_c$ 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 $omega_c$ we prove strong instability for all radially symmetric standing waves $e^{iomega_c t}varphi(x)$. We prove similar strong instability results for the Klein–Gordon–Zakharov system." @default.
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- W1991650856 date "2007-01-01" @default.
- W1991650856 modified "2023-10-18" @default.
- W1991650856 title "Strong Instability of Standing Waves for the Nonlinear Klein–Gordon Equation and the Klein–Gordon–Zakharov System" @default.
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- W1991650856 doi "https://doi.org/10.1137/050643015" @default.
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