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Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds

โœ Scribed by Xiaobao Zhu


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
206 KB
Volume
74
Category
Article
ISSN
0362-546X

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A Liouville theorem and blowup behavior
โœ Hatem Zaag ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 178 KB ๐Ÿ‘ 1 views

We prove a Liouville theorem for the following heat system whose nonlinearity has no gradient structure: where pq > 1, p โ‰ฅ 1, q โ‰ฅ 1, and | p -q| small. We then deduce a localization property and uniform L โˆž estimates of blowup solutions of this system.