WIAS Preprint No. 1142, (2006)

A remark on the weakly damped wave equation


  • Pata, Vittorino
  • Zelik, Sergey

2010 Mathematics Subject Classification

  • 35B33 35B41 35L05 35Q40


  • Weakly damped wave equation, critical nonlinearity, global attractor


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.

Appeared in

  • Commun. Pure Appl. Anal., 5 (2006) pp. 609--614.

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