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Abstract: We give a proof of the H\-older continuity of weak solutions of certaindegenerate doubly nonlinear parabolic equations in measure spaces. We onlyassume the measure to be a doubling non-trivial Borel measure which supports aPoincar\-e inequality. The proof discriminates between large scales, for whicha Harnack inequality is used, and small scales, that require intrinsic scalingmethods.



Autor: Tuomo Kuusi, Juhana Siljander, José Miguel Urbano

Fuente: https://arxiv.org/



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