Global existence and blow-up of solutions to a nonlocal reaction-diffusion system

Shu-Xiang Huang; Fu-Cai Li; Chun-Hong Xie

doi:10.3934/dcds.2003.9.1519

Article Contents

2003, Volume 9, Issue 6: 1519-1532. Doi: 10.3934/dcds.2003.9.1519

This issue Previous Article Global bifurcation of homoclinic solutions of Hamiltonian systems Next Article Symbolic analysis for some planar piecewise linear maps

Global existence and blow-up of solutions to a nonlocal reaction-diffusion system

1.
School of Mathematics and System Sciences, Shandong University, Jinan 250100
2.
Department of Mathematics, Nanjing University, Nanjing 210093

Received: June 30, 2002

Revised: April 30, 2003

Published: October 2003

Abstract Related Papers Cited by

Abstract

This paper deals with a reaction-diffusion system with nonlocal sources. Under appropriate hypotheses, we obtain that the solution either exists globally or blows up in finite time by making use of super and sub solution techniques. In the situation when the solution blows up in finite time, we show that the blow-up set is the whole domain, which is quite different from the results with local sources. Furthermore, we obtain the blow-up rate of the solution.

Keywords:

Mathematics Subject Classification: 35B40, 35K57, 35K60.

Citation:

Article Metrics

HTML views() PDF downloads(225) Cited by(0)

Global existence and blow-up of solutions to a nonlocal reaction-diffusion system

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Global existence and blow-up of solutions to a nonlocal reaction-diffusion system

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content