On the Hölder regularity for obstacle problems to porous medium type equations

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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46

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Journal of Evolution Equations, Volume 22, issue 4, pp. 1-46

Abstract

We show that signed weak solutions to parabolic obstacle problems with porous medium-type structure are locally Hölder continuous, provided that the obstacle is Hölder continuous.

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Funding Information: K. Moring has been supported by the Magnus Ehrnrooth Foundation and Foundation for Aalto University Science and Technology. Publisher Copyright: © 2022, The Author(s).

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Moring, K & Schätzler, L 2022, 'On the Hölder regularity for obstacle problems to porous medium type equations', Journal of Evolution Equations, vol. 22, no. 4, 81, pp. 1-46. https://doi.org/10.1007/s00028-022-00840-4