Smooth attractors for strongly damped wave equations

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Date
2006
Volume
1137
Issue
Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

This paper is concerned with the semilinear strongly damped wave equation ptt u-Delta pt u-Delta u+varphi(u)=f. The existence of compact global attractors of optimal regularity is proved for nonlinearities phi of critical and supercritical growth.

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Keywords
Strongly damped wave equation, critical and supercritical growths, compact global attractors, regularity
Citation
Pata, V., & Zelik, S. (2006). Smooth attractors for strongly damped wave equations (Vol. 1137). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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