Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-28T02:35:10.706Z Has data issue: false hasContentIssue false
  • English
  • Français

Single-point blow-up for a doubly degenerate parabolic equation with nonlinear source

Published online by Cambridge University Press:  03 June 2011

Chunlai Mu  and
Rong Zeng
Chunlai Mu
Affiliation:
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, People's Republic of China
Rong Zeng
Affiliation:
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, People's Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper deals with the positive solution to the doubly degenerate equation

where σ > 0, m > 1, β > m(1 + σ). We prove single-point blow-up for a large class of radial decreasing solutions. Furthermore, the upper and lower estimates of the blow-up solution near the single blow-up point are obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 3 , June 2011 , pp. 641 - 654
Copyright
Copyright © Royal Society of Edinburgh 2011

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.)