This paper is concerned with the semilinear strongly damped wave equation u_{tt} -Delta u_{t} -Delta u +phi(u) = f. The existence of compact global attractors of optimal regularity is proved for nonlinearities phi of critical and supercritical growth.
Smooth attractors for strongly damped wave equations
PATA, VITTORINO;
2006-01-01
Abstract
This paper is concerned with the semilinear strongly damped wave equation u_{tt} -Delta u_{t} -Delta u +phi(u) = f. The existence of compact global attractors of optimal regularity is proved for nonlinearities phi of critical and supercritical growth.File in questo prodotto:
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