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The Critical Exponent of Doubly Singular Parabolic Equations

✍ Scribed by Xinfeng Liu; Mingxin Wang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 147 KB
Volume: 257
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7341

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✦ Synopsis

In this paper we study the Cauchy problem of doubly singular parabolic equations u t = div ∇u σ ∇u m + t s x θ u p with non-negative initial data. Here -1

then every non-trivial solution blows up in finite time. But for p > p c a positive global solution exists.

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