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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])
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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

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