Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T21:58:19.179Z Has data issue: false hasContentIssue false
  • English
  • Français

BLOW-UP PROPERTIES OF SOLUTIONS TO PARABOLIC SYSTEMS COUPLED IN EQUATIONS AND BOUNDARY CONDITIONS

Published online by Cambridge University Press:  25 March 2003

M. X. WANG
M. X. WANG
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210018, [email protected]
Get access

Abstract

The paper deals with the estimates of the blow-up rate and the blow-up set of positive solutions to semilinear parabolic systems coupled in the equations and boundary conditions. The explicit upper and lower bounds of the blow-up rate are obtained. Moreover, it is proved that the blow-up set contains a single point x = 1 under the proper conditions on the initial data.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 180 - 194
Copyright
The London Mathematical Society, 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)