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Paramagnetic critical exponents

✍ Scribed by D.E.G. Williams


Publisher
Elsevier Science
Year
1988
Weight
216 KB
Volume
149
Category
Article
ISSN
0378-4363

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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 βˆ‡u m-1 βˆ‡u + t s x Οƒ u p , with non-negative initial data. Here s β‰₯ 0 n -1 / n + 1 < m < 1 p > 1 and Οƒ > n 1 -m -1 + m + 2s . We prove that p c ≑ m + 1 + m + 2s + Οƒ /n