Smoothing effect of the generalized BBM equation for localized solutions moving to the right

Khaled El Dika

doi:10.3934/dcds.2005.12.973

Article Contents

2005, Volume 12, Issue 5: 973-982. Doi: 10.3934/dcds.2005.12.973

This issue Previous Article A generalization of Desch--Schappacher--Webb criteria for chaos Next Article Existence and location of periodic solutions to convex and non coercive Hamiltonian systems

Smoothing effect of the generalized BBM equation for localized solutions moving to the right

Khaled El Dika^1,

1.
Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay

Received: October 31, 2003

Revised: July 31, 2004

Published: September 2005

Abstract Related Papers Cited by

Abstract

We prove $C^\infty$ smoothness and uniform exponential decay for $H^1$-localized solutions moving to the right of the generalized BBM equation. For that purpose we use a monotonicity property for solution which are not necessarily close to solitary waves.

Keywords:

Generalized regularized long-wave equation,
generalized BBM equation,
smoothing effect.

Mathematics Subject Classification: 35B40, 35Q53.

Citation:

Article Metrics

HTML views() PDF downloads(183) Cited by(0)

Smoothing effect of the generalized BBM equation for localized solutions moving to the right

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Smoothing effect of the generalized BBM equation for localized solutions moving to the right

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content