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On hölder continuity of solutions of doubly nonlinear parabolic equations with weight

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Abstract

We prove the Hölder regularity of bounded weak solutions of doubly nonlinear degenerate parabolic equations with measurable coefficients.

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Authors and Affiliations

  1. University of Catania, Italy

    S. Bonafede

  2. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    I. I. Skrypnik

Authors
  1. S. Bonafede
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  2. I. I. Skrypnik
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 7, pp. 890–903, July, 1999.

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Bonafede, S., Skrypnik, I.I. On hölder continuity of solutions of doubly nonlinear parabolic equations with weight. Ukr Math J 51, 996–1012 (1999). https://doi.org/10.1007/BF02592036

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  • DOI: https://doi.org/10.1007/BF02592036

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