A Sufficient Condition for Finite Time Blow up of the Nonlinear Klein-gordon Equations with Arbitrarily Positive Initial Energy
نویسنده
چکیده
In this paper we consider the nonexistence of global solutions of a Klein-Gordon equation of the form utt −∆u+mu = f(u), (t, x) ∈ [0, T )× Rn. Here m = 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 finite time.
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تاریخ انتشار 2007