Optimal bounds and blow-up criteria for a semi-linear accretive wave equation
M. Jazar Ch. Messikh
Abstract
In this paper we consider the semi-linear wave equation: utt-Δu=ut|ut|p-1 in RN where 1<p≤ 1+2N-1 and p<5 if N=1, p≠ 3 if N=2. We give an energetic criteria and optimal lower bound for blowing up solutions of this equation.
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