Exponential attractor for the delayed logistic equation with a nonlinear diffusion

Dalibor Pražák

doi:10.3934/proc.2003.2003.717

Article Contents

2003, Volume 2003: 717-726. Doi: 10.3934/proc.2003.2003.717 open access

This issue Previous Article Analytic continuation into the future Next Article Parabolic systems with non continuous coefficients

Exponential attractor for the delayed logistic equation with a nonlinear diffusion

Dalibor Pražák^1,

1.
Department of Mathematical Analysis, Charles University, Prague, Sokolovská 83, 186 75 Prague 8

Received: August 2002

Published: April 2003

Abstract / Introduction Related Papers Cited by

Abstract

We study the generalized logistic equation where the feedback is captured by the time convolution with a nonnegative measure and the diffusion is the laplacian plus the p-laplacian with $p >= 2$. We prove that the equation has an exponential attractor provided that the solutions are asymptotically bounded.

Keywords:

Mathematics Subject Classification: Primary: 37L25. Secondary: 37L30, 47J35.

Citation:

Article Metrics

HTML views() PDF downloads(151) Cited by(0)

Exponential attractor for the delayed logistic equation with a nonlinear diffusion

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Exponential attractor for the delayed logistic equation with a nonlinear diffusion

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content