Critical nonlinearities at the boundary

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Arrieta Algarra, José María and Carvalho, Alexandre N. and Rodríguez Bernal, Aníbal (1998) Critical nonlinearities at the boundary. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 327 (4). pp. 353-358. ISSN 0764-4442

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Official URL: http://www.sciencedirect.com/science/article/pii/S0764444299800470

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Abstract

We prove existence, uniqueness and regularity of solutions for heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Ohm), W-1,W-q(Ohm), 1 < q < infinity, or measures and with critically growing nonlinearities.

Item Type:	Article
Subjects:	Sciences > Mathematics > Functions
ID Code:	17924
Deposited On:	24 Jan 2013 11:37
Last Modified:	12 Dec 2018 15:07

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