A remark on blow-up at space infinity

Yukihiro Seki

doi:10.3934/proc.2009.2009.691

Article Contents

2009, Volume 2009: 691-696. Doi: 10.3934/proc.2009.2009.691 open access

This issue Previous Article Noncommutative AKNS systems and multisoliton solutions to the matrix sine-gordon equation Next Article Stability analysis for two dimensional Allen-Cahn equations associated with crystalline type energies

A remark on blow-up at space infinity

Yukihiro Seki^1,

1.
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku Tokyo 153-8914

Received: July 2008

Revised: July 2009

Published: August 2009

Abstract Related Papers Cited by

Abstract

In this note we discuss blow-up at space infinity for quasilinear parabolic equation $u_t = \Delta u^m + u^{p}$. It is known that if initial data is not a constant and takes its maximum at space infinity in a certain sense, the solution blows up only at space infinity at minimal blow-up time. We show that if $m \ge 1$ and a solution blows up at minimal blow-up time, then it blows up completely at the blow-up time.

Keywords:

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

Citation:

Article Metrics

HTML views() PDF downloads(68) Cited by(0)

A remark on blow-up at space infinity

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A remark on blow-up at space infinity

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content