Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/66286
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
p-Laplacian
Country: Suíça
Editor: Springer Basel Ag
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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