Long-time asymptotic behaviors of solutions of $N$-dimensional dissipative partial differential equations

Linghai Zhang

doi:10.3934/dcds.2002.8.1025

Article Contents

2002, Volume 8, Issue 4: 1025-1042. Doi: 10.3934/dcds.2002.8.1025

This issue Previous Article Existence of solutions for the $p-$Laplacian with crossing nonlinearity Next Article The generalized Liénard systems

Long-time asymptotic behaviors of solutions of $N$-dimensional dissipative partial differential equations

Linghai Zhang^1,

1.
School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN 55455

Received: December 31, 2000

Revised: March 31, 2002

Published: September 2002

Abstract Related Papers Cited by

Abstract

We establish the optimal rate of decay for the global solutions of some nonlinear partial differential equations with dissipation. We apply the well known Fourier splitting technique invented by Maria Schonbek in [1] -- [5] to achieve our goal.

Keywords:

Decay estimates,
dissipative partial differential equations,
Fourier splitting method,
iteration technique.

Mathematics Subject Classification: 35Q20.

Citation:

Article Metrics

HTML views() PDF downloads(83) Cited by(0)

Long-time asymptotic behaviors of solutions of $N$-dimensional dissipative partial differential equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Long-time asymptotic behaviors of solutions of $N$-dimensional dissipative partial differential equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content