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Regularity of solutions and interfaces of the porous medium equation via local estimates*

Published online by Cambridge University Press:  14 November 2011

Juan Luis Vazquez
Juan Luis Vazquez
Affiliation:
Departamento de Matemáticas, Universidad Autonóma de Madrid, 28049 Madrid, Spain
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Synopsis

We prove C∞ regularity for moving interfaces of local solutions of the porous medium equation as well as C∞ lateral regularity for the pressure function near such an interface.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 1-2 , 1989 , pp. 1 - 13
Copyright
Copyright © Royal Society of Edinburgh 1989

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