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Title: Local Hölder continuity for doubly nonlinear parabolic equations
Authors: Kuusi, Tuomo 
Siljander, Juhana 
Urbano, José Miguel 
Keywords: Hölder continuity; Caccioppoli estimates; Intrinsic scaling; Harnack's inequality
Issue Date: 2010
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 10-19 (2010)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 10-19
Place of publication or event: Coimbra
Abstract: We give a proof of the Hölder continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling non-trivial Borel measure which supports a Poincaré inequality. The proof discriminates between large scales, for which a Harnack inequality is used, and small scales, that require intrinsic scaling methods.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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