A remark on the damped wave equation

V. Pata; Sergey Zelik

doi:10.3934/cpaa.2006.5.611

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2006, Volume 5, Issue 3: 611-616. Doi: 10.3934/cpaa.2006.5.611

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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

Received: July 31, 2005

Revised: November 30, 2005

Published: August 2006

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B33, 35B41; Secondary: 35L05, 35Q40.

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