The system of Elastic waves in unbounded domains with nonconstant damping coefficient

Autores: 
R. C. Charão, Ryo Ikehata
Resumo: 
In this work we study polynomial decay rate of the total energy of solutions for a semilinear system of elastic waves in Rn with a potential type of damping. We consider the critical potential for initial data with compact support. An application for the Euler-Poisson-Darboux type dissipation $V (t, x)$ is obtained and in this case the compactness of the support on the initial data is not necessary.We also discuss about the energy concentration area for the linear system of elastic waves in an exterior domain.
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