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Logarithmically singular parabolic equations as limits of the porous medium equation

✍ Scribed by Emmanuele DiBenedetto; Ugo Gianazza; Naian Liao


Book ID
116761157
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
332 KB
Volume
75
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


The Critical Exponent of Doubly Singular
✍ Xinfeng Liu; Mingxin Wang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 147 KB

In this paper we study the Cauchy problem of doubly singular parabolic equations u t = div βˆ‡u Οƒ βˆ‡u m + t s x ΞΈ 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.