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arXiv · 1211.0731

The Threshold between Effective and Noneffective Damping for Semilinear Waves

Marcello D'Abbicco
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Abstract

In this paper we study the global existence of small data solutions to the Cauchy problem for the semilinear wave equation with scale-invariant damping. We obtain estimates for the solution and its energy with the same decay rate of the linear problem. We extend our results to a model with polynomial speed of propagation and to a model with an exponential speed of propagation.

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Marcello D'Abbicco. 2012-11-17. The Threshold between Effective and Noneffective Damping for Semilinear Waves. https://doi.org/10.1002/mma.3126

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