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Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions

Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions

This paper focuses on the initial boundary value problem of semilinear wave equation in exterior domain in two space dimensions with critical power. Based on the contradiction argument, we prove that the solution will blow up in a finite time. This complements the existence result of supercritical case by Smith, …