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Type: Artigo de periódico
Title: Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion
Author: Boldrini, JL
de Miranda, LH
Planas, G
Abstract: This article considers the issues of existence and regularity of solutions to the following doubly nonlinear differential inclusion omega(t) + alpha(omega(t)) - Delta omega - Delta(p)omega (sic) f where alpha is a maximal monotone operator in and Delta (p) denotes the p-Laplacian with p > 2. The investigation on fractional regularity is based on the Galerkin method combined with a suitable basis for W (1,p) , which we exhibit as a preliminary result. This approach also allows the obtaining of estimates in the so-called Nikolskii spaces, since it balances the interplay between the maximal monotone operator with the appearing higher order nonlinear terms.
Subject: Doubly nonlinear differential inclusions
Fractional regularity
Galerkin method
Nikolskii space
Maximal monotone operator
Country: Suíça
Editor: Springer Basel Ag
Citation: Journal Of Evolution Equations. Springer Basel Ag, v. 13, n. 3, n. 535, n. 560, 2013.
Rights: fechado
Identifier DOI: 10.1007/s00028-013-0189-z
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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