JournalsjemsVol. 23, No. 2pp. 425–465

Optimal regularity for the porous medium equation

  • Benjamin Gess

    Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, and Universität Bielefeld, Germany
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Abstract

We prove optimal regularity for solutions to porous media equations in Sobolev spaces, based on velocity averaging techniques. In particular, the regularity obtained is consistent with the optimal regularity in the linear limit.

Cite this article

Benjamin Gess, Optimal regularity for the porous medium equation. J. Eur. Math. Soc. 23 (2021), no. 2, pp. 425–465

DOI 10.4171/JEMS/1014