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|Type:||Artigo de periódico|
|Title:||Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion|
de Miranda, LH
|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|
Maximal monotone operator
|Editor:||Springer Basel Ag|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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