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Some quasilinear parabolic equations

โœ Scribed by Jean Michel Rakotoson

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
710 KB
Volume
17
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

On critical exponents for some quasiline
On critical exponents for some quasilinear parabolic equations
โœ Howard A. Levine; Gary M. Lieberman; Peter Meier ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 381 KB ๐Ÿ‘ 1 views

## Abstract We study the Cauchy problem for the quasilinear parabolic equation magnified image where __p__ > 1 is a parameter and ฯˆ is a smooth, bounded function on (1, โˆž) with โˆ’ โฉฝ __s__ฯˆโ€ฒ(__s__)/ฯˆ(__s__) โฉฝ ฮธ for some ฮธ > 0. If 1 < __p__ < 1 + 2/__N__, there are no global positive solutions, wherea

Critical Exponents of Quasilinear Parabo
Critical Exponents of Quasilinear Parabolic Equations
โœ Yuan-Wei Qi; Ming-Xing Wang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

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