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Extinction and non-extinction for a polytropic filtration equation with absorption and source

โœ Scribed by Chunlai Mu; Liangchen Wang; Pan Zheng


Book ID
113721948
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
195 KB
Volume
391
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES


Extinction and non-extinction for a p-La
โœ Ya Tian; Chunlai Mu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 284 KB

In this paper, we deal with the extinction of solutions of the initial-boundary value problem of the p-Laplacian equation u t = div(|โˆ‡u| p-2 โˆ‡u) + ฮปu q in a bounded domain of R N with N โ‰ฅ 2. For 1 < p < 2, we show that q = p -1 is the critical exponent of extinction for the weak solution. Furthermor