Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation
Published online by Cambridge University Press: 03 March 2016
Abstract
We study the asymptotic behaviour of solutions of the fast diffusion equation near extinction. For a class of initial data, the asymptotic behaviour is described by a singular Barenblatt profile. We complete previous results on rates of convergence to the singular Barenblatt profile by describing a new phenomenon concerning the difference between the rates in time and space.
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- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 2 , April 2016 , pp. 309 - 324
- Copyright
- Copyright © Royal Society of Edinburgh 2016
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