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The self-improving property of higher integrability in the obstacle problem for the porous medium equation

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Abstract

We prove local higher integrability of spatial gradients for obstacle problems related to porous medium type equations.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Seoul National University, Seoul, 08826, Korea

    Yumi Cho

  2. Fakultät für Mathematik, Universität Duisburg-Essen, Thea-Leymann-Strasse 9, 45127, Essen, Germany

    Christoph Scheven

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  1. Yumi Cho
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  2. Christoph Scheven
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Correspondence to Christoph Scheven.

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Cho, Y., Scheven, C. The self-improving property of higher integrability in the obstacle problem for the porous medium equation. Nonlinear Differ. Equ. Appl. 26, 37 (2019). https://doi.org/10.1007/s00030-019-0581-7

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  • DOI: https://doi.org/10.1007/s00030-019-0581-7

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