Parabolic problems with nonlinear boundary conditions and critical nonlinearities

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Arrieta Algarra, José María and Carvalho, Alexandre N. and Rodríguez Bernal, Aníbal (1999) Parabolic problems with nonlinear boundary conditions and critical nonlinearities. Journal of Differential Equations, 156 (2). p. 376. ISSN 0022-0396

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022039698936129

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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(Omega), W-1,W-q(Omega), 1 < q < infinity or measures and with critically growing non-linearities.

Item Type:	Article
Uncontrolled Keywords:	Interpolation theorems for scales of Banach spaces; Critical growth; Initial data; Equations
Subjects:	Sciences > Mathematics > Functional analysis and Operator theory
ID Code:	17975
Deposited On:	25 Jan 2013 09:58
Last Modified:	12 Dec 2018 15:07

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