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https://hdl.handle.net/10316/13697
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. | URI: | https://hdl.handle.net/10316/13697 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Local Holder continuity.pdf | 238.3 kB | Adobe PDF | View/Open |
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