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Abstract quasilinear parabolic equations

โœ Scribed by Alessandra Lunardi


Book ID
105204806
Publisher
Springer
Year
1984
Tongue
English
Weight
923 KB
Volume
267
Category
Article
ISSN
0025-5831

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In this paper we study the critical exponents of the Cauchy problem in R n of the quasilinear singular parabolic equations: u t = div โˆ‡u m-1 โˆ‡u + t s x ฯƒ u p , with non-negative initial data. Here s โ‰ฅ 0 n -1 / n + 1 < m < 1 p > 1 and ฯƒ > n 1 -m -1 + m + 2s . We prove that p c โ‰ก m + 1 + m + 2s + ฯƒ /n