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A Liouville theorem for vector-valued nonlinear heat equations and applications

โœ Scribed by Frank Merle; Hatem Zaag


Publisher
Springer
Year
2000
Tongue
English
Weight
222 KB
Volume
316
Category
Article
ISSN
0025-5831

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A Liouville theorem and blowup behavior
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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.

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