A better bound on blow-up rate for the superconformal semilinear wave equation

Abstract

We consider the semilinear wave equation in higher dimensions with superconformal power nonlinearity. The purpose of this paper is to give a new upper bound on the blow-up rate in some space-time integral, showing a |(T-t)|q improvement in comparison with previous results obtained in HZdcds13,KSVsurc12.

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