Blow-up results for vector-valued nonlinear heat equations with no gradient structure
Hatem Zaag (1998)
Annales de l'I.H.P. Analyse non linéaire
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Hatem Zaag (1998)
Annales de l'I.H.P. Analyse non linéaire
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Hatem Zaag (2002)
Annales de l'I.H.P. Analyse non linéaire
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Luis Herraiz (1999)
Annales de l'I.H.P. Analyse non linéaire
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Philippe Souplet (2000)
Banach Center Publications
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We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.
M. A. Herrero, J. J. L. Velázquez (1993)
Annales de l'I.H.P. Analyse non linéaire
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Miguel A. Herrero, Juan J. L. Velazquez (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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