Rates of decay for the wave systems with time dependent damping

Moez Daoulatli

doi:10.3934/dcds.2011.31.407

Article Contents

2011, Volume 31, Issue 2: 407-443. Doi: 10.3934/dcds.2011.31.407

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Rates of decay for the wave systems with time dependent damping

Moez Daoulatli^1,

1.
Department of Mathematics and Informatics, ISSATS, University of Sousse, Sousse, 4003

Received: March 31, 2010

Revised: January 31, 2011

Published: May 2011

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Abstract

We study the rate of decay of solutions of the wave systems with time dependent nonlinear damping. The damping is modeled by a continuous monotone function without any growth restrictions imposed at the origin and infinity. The decay rate of the energy functional is obtained by solving a nonlinear non-autonomous ODE.

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Mathematics Subject Classification: Primary: 35L05, 35B40; Secondary: 35L70, 35B35.

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References

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