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RATES OF DECAY FOR THE WAVE SYSTEMS WITH TIME DEPENDENT DAMPING
Journal article   Peer reviewed

RATES OF DECAY FOR THE WAVE SYSTEMS WITH TIME DEPENDENT DAMPING

Moez Daoulatli and Department of Mathematics and Informatics, ISSATS, University of Sousse, Sousse, 4003
Discrete and continuous dynamical systems. Series A, Vol.31(2), pp.407-443
01/10/2011
DOI: https://doi.org/10.3934/dcds.2011.31.407

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 funcional is obtained by solving a nonlinear non-autonomous ODE.

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