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arXiv · 1210.3493

Semi-linear wave equations with effective damping

Marcello D'Abbicco·Sandra Lucente·Michael Reissig
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Abstract

We study the Cauchy problem for the semi-linear damped wave equation in any space dimension. We assume that the time-dependent damping term is effective. We prove the global existence of small energy data solutions in the supercritical case.

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Marcello D'Abbicco, Sandra Lucente, Michael Reissig. 2012-10-12. Semi-linear wave equations with effective damping. https://doi.org/10.1007/s11401-013-0773-0

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