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Modulation Theory for the Blowup of Vector-Valued Nonlinear Heat Equations

✍ Scribed by S. Filippas; F. Merle


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
773 KB
Volume
116
Category
Article
ISSN
0022-0396

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✦ Synopsis


AND
Frank MERle

Universite Cergy Pontoise and Universite Paris VI, 75230 Paris Cedex, France


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