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arXiv · 1211.0453

A modified test function method for damped waves

Marcello D'Abbicco·Sandra Lucente
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Abstract

In this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical exponent is the same exponent of some recent results on global existence of small data solution.

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Marcello D'Abbicco, Sandra Lucente. 2012-11-02. A modified test function method for damped waves. https://arxiv.org/abs/1211.0453

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