On the damped semilinear wave equation with critical exponent

Maurizio Grasselli; Vittorino Pata

doi:10.3934/proc.2003.2003.351

Article Contents

2003, Volume 2003: 351-358. Doi: 10.3934/proc.2003.2003.351 open access

This issue Previous Article Oscillatory properties of third order neutral delay differential equations Next Article A nonlinear controlled system of differential equations describing the process of production and sales of a consumer good

On the damped semilinear wave equation with critical exponent

Maurizio Grasselli^1, and
Vittorino Pata^2,

1.
Dipartimento di Matematica, Politecnico di Milano, Via E. Bonardi, 9, I-20133 Milano
2.
Politecnico di Milano - Dipartimento di Matematica "F. Brioschi", Via Bonardi 9, 20133 Milano

Received: June 2002

Revised: March 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

We provide an optimal regularity result for the universal attractor of the weakly damped semilinear wave equation, when the nonlinearity satisfies the critical growth condition. This allows us to prove an upper semicontinuity result as well as the existence of an exponential attractor.

Keywords:

Mathematics Subject Classification: Primary: 35B41, 35L05; Secondary: 35L25, 35Q40.

Citation:

Article Metrics

HTML views() PDF downloads(213) Cited by(0)

On the damped semilinear wave equation with critical exponent

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On the damped semilinear wave equation with critical exponent

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content