A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
| dc.creator | Wang, Yanjin | |
| dc.date | 2007-02-07 | |
| dc.date.accessioned | 2026-07-07T07:45:21Z | |
| dc.date.available | 2026-07-07T07:45:21Z | |
| dc.description | In this paper we consider the nonexistence of global solutions of a Klein-Gordon equation of the form \begin{eqnarray*} u_{tt}-Δu+m^2u=f(u)& (t,x)\in [0,T)\times\R^n. \end{eqnarray*} Here $m\neq 0$ and the nonlinear power $f(u)$ satisfies some assumptions which will be stated later. We give a sufficient condition on the initial datum with arbitrarily high initial energy such that the solution of the above Klein-Gordon equation blows up in a finite time. | |
| dc.description | 6pages | |
| dc.identifier | https://arxiv.org/abs/math/0702187 | |
| dc.identifier | http://arxiv.org/abs/math/0702187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123501 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35L05, 35L15 | |
| dc.title | A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy | |
| dc.type | text |