Attractors for semilinear strongly damped wave equations on $\mathbb R^3$

Veronica Belleri; Vittorino Pata

doi:10.3934/dcds.2001.7.719

Article Contents

2001, Volume 7, Issue 4: 719-735. Doi: 10.3934/dcds.2001.7.719

This issue Previous Article Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth Next Article Oscillation death in systems of oscillators with transferable coupling and time-delay

Attractors for semilinear strongly damped wave equations on $\mathbb R^3$

Veronica Belleri¹ and
Vittorino Pata^2,

1.
Dipartimento di Matematica, Università Cattolica del S. Cuore, Brescia
2.
Dipartimento di Matematica "F. Brioschi", Politecnico di Milano

Received: November 30, 2000

Revised: January 31, 2001

Published: September 2001

Abstract Related Papers Cited by

Abstract

A strongly damped semilinear wave equation on the whole space is considered. Existence and uniqueness results are provided, together with the existence of an absorbing set, which is uniform as the external force is allowed to run in a certain functional set. In the autonomous case, the equation is shown to possess a universal attractor.

Keywords:

Mathematics Subject Classification: 35B40, 35L05, 58F12.

Citation:

Article Metrics

HTML views() PDF downloads(234) Cited by(0)

Attractors for semilinear strongly damped wave equations on $\mathbb R^3$

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Attractors for semilinear strongly damped wave equations on $\mathbb R^3$

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content