In this paper we study the critical exponents of the Cauchy problem in R n of the quasilinear singular parabolic equations: u t = div โu m-1 โu + t s x ฯ u p , with non-negative initial data. Here s โฅ 0 n -1 / n + 1 < m < 1 p > 1 and ฯ > n 1 -m -1 + m + 2s . We prove that p c โก m + 1 + m + 2s + ฯ /n
Critical exponent and critical blow-up for quasilinear parabolic equations
โ Scribed by Kiyoshi Mochizuki; Ryuichi Suzuki
- Publisher
- The Hebrew University Magnes Press
- Year
- 1997
- Tongue
- English
- Weight
- 556 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0021-2172
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