Single-point blow-up for a doubly degenerate parabolic equation with nonlinear source
Published online by Cambridge University Press: 03 June 2011
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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