Exponential decay for solutions to semilinear damped wave equation

Details Exponential decay for solutions to semilinear damped wave equation Exponential decay for solutions to semilinear damped wave equation

2008-12-18

arxiv.org/abs/0812.3637v3

Discrete and Continuous Dynamical Systems - Series S (DCDS-S) 5, 3 (2012) 559 - 566

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.cam.2009.08.068

This paper is concerned with decay estimate of solutions to the semilinear
wave equation with strong damping in a bounded domain. Introducing an
appropriate Lyaponuv function, we prove that when the damping is linear, we can
find initial data, for which the solution decays exponentially. This result
improves an early one in an article of Gazzola and Squassina.

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