Perron's method for the porous medium equation

Juha Kinnunen; Peter Lindqvist; Teemu Lukkari

doi:10.4171/jems/658

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

Perron's method for the porous medium equation

Juha Kinnunen
Aalto University, Finland
- MathSciNet
- zbMATH Open
Peter Lindqvist
Norwegian University of Science and Technology, Trondheim, Norway
- MathSciNet
- zbMATH Open
Teemu Lukkari
Aalto University, Finland
- MathSciNet
- zbMATH Open

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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