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September  2006, 5(3): 611-616. doi: 10.3934/cpaa.2006.5.611

A remark on the damped wave equation

V. Pata 1, and  Sergey Zelik 2,

1. 

Dipartimento di Matematica "F. Brioschi", Politecnico di Milano, I-20133 Milano
2. 

Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany

Received  August 2005 Revised  December 2005 Published  June 2006

In this short note we present a direct method to establish the optimal regularity of the attractor for the semilinear damped wave equation with a nonlinearity of critical growth.
Keywords: critical nonlinearity, global attractor., Damped wave equation.
Mathematics Subject Classification: Primary: 35B33, 35B41; Secondary: 35L05, 35Q4.
Citation: V. Pata, Sergey Zelik. A remark on the damped wave equation. Communications on Pure & Applied Analysis, 2006, 5 (3) : 611-616. doi: 10.3934/cpaa.2006.5.611
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