A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up
Zaag, Hatem; Nouaili, Nejla (2010), A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up, Transactions of the American Mathematical Society, 362, 7, p. 3391-3434
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00531306/fr/
Journal nameTransactions of the American Mathematical Society
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Abstract (EN)We prove a Liouville Theorem for a vector valued semilinear heat equation with no gradient structure. Classical tools such as the maximum principle or energy techniques break down and have to be replaced by a new approach. We then derive from this theorem uniform estimates for blow-up solutions of that equation.
Subjects / KeywordsVector-valued; Heat equation; Uniform estimates; Liouville theorem; Blow-up
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