JournalsjemsVol. 18, No. 12pp. 2953–2969

Perron's method for the porous medium equation

  • Juha Kinnunen

    Aalto University, Finland

  • Peter Lindqvist

    Norwegian University of Science and Technology, Trondheim, Norway

  • Teemu Lukkari

    Aalto University, Finland
Perron's method for the porous medium equation cover
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Abstract

This work extends Perron’s method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.

Cite this article

Juha Kinnunen, Peter Lindqvist, Teemu Lukkari, Perron's method for the porous medium equation. J. Eur. Math. Soc. 18 (2016), no. 12, pp. 2953–2969

DOI 10.4171/JEMS/658