no. 19-20
Partial differential equations
Lower bounds for the blow-up time in the higher-dimensional nonlinear divergence form parabolic equations
[Bornes inférieures du temps dʼexplosion des solutions dʼéquations paraboliques non linéaires sous forme de divergence dans des espaces de grande dimension]

Présenté par : the Editorial Board

Baghaei, Khadijeh1 ; Hesaaraki, Mahmoud2
1 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
2 Department of Mathematics, Sharif University of Technology, Tehran, Iran
Comptes Rendus. Mathématique, Tome 351 (2013) no. 19-20, pp. 731-735.
est référencé par Corrigendum to “Lower bounds for the blow-up time in the higher-dimensional nonlinear divergence form parabolic equations” [C. R. Acad. Sci. Paris, Ser. I 351 (19–20) (2013) 731–735]

Lʼarticle traite dʼun problème dʼexplosion des solutions dʼéquations paraboliques non linéaires sous forme de divergence, avec des conditions aux limites non linéaires. On obtient une estimation dʼune borne inférieure du temps dʼexplosion des solutions dans le cas dʼun domaine borné Ω⊆Rn, n⩾3.

This paper deals with the blow-up of solutions to some nonlinear divergence form parabolic equations with nonlinear boundary conditions. We obtain a lower bound for the blow-up time of solutions in a bounded domain Ω⊆Rn, n⩾3.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.09.024
Baghaei, Khadijeh 1 ; Hesaaraki, Mahmoud 2

1 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
2 Department of Mathematics, Sharif University of Technology, Tehran, Iran 
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Baghaei, Khadijeh; Hesaaraki, Mahmoud. Lower bounds for the blow-up time in the higher-dimensional nonlinear divergence form parabolic equations. Comptes Rendus. Mathématique, Tome 351 (2013) no. 19-20, pp. 731-735. doi : 10.1016/j.crma.2013.09.024. http://www.numdam.org/articles/10.1016/j.crma.2013.09.024/

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