✦ LIBER ✦

A strongly degenerate diffusion equation with strong absorption

✍ Scribed by Michael Winkler

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 288 KB
Volume: 277
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310221

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✦ Synopsis

Abstract

It is shown that the Cauchy problem in ℝ for the strongly degenerate parabolic equation

has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that q ≤ p – 1, while there is no (continuous) weak solution for q > p – 1. The evolution of the spatial positivity set {u(t) > 0}, continuity of the free boundary and the extinction rate are also investigated. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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