Special Session 57: 

The viscoelastic wave equation with localized memory with past history and supercritical nonlinearities

Valeria N Domingos Cavalcanti
State University of Maringa
Brazil
Co-Author(s):    Marcelo M. Cavalcanti, T. D. Marchiori and C. M. Webler Martins
Abstract:
We are concerned with the well-posedness of solutions as well as the asymptotic behaviour of the energy related to the viscoelastic wave equation with localized memory with past history and supercritical source and damping terms, posed on a bounded domain $\Omega \subset \bf{R}^3$.