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On some local property of the shape of interfaces for the porous media equation

✍ Scribed by Kazuya Hayasida

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
172 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider the porous media equation with absorption for various conditions and prove that the shape of ist interface never becomes strongly upward convex. For this sake we derive an improperly posed estimate for solutions of the porous media equation for the non‐characteristic Cauchy problem (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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