Geodesic
Perron's method for the porous medium equation
Journal of the European Mathematical Society, Tome 18 (2016) no. 12, pp. 2953-2969.

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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.
DOI : 10.4171/jems/658
Classification : 35-XX, 31-XX
Keywords: Perron method, Porous medium equation, comparison principle, obstacles 
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     title = {Perron's method for the porous medium equation},
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Juha Kinnunen; Peter Lindqvist; Teemu Lukkari. Perron's method for the porous medium equation. Journal of the European Mathematical Society, Tome 18 (2016) no. 12, pp. 2953-2969. doi : 10.4171/jems/658. http://geodesic.mathdoc.fr/articles/10.4171/jems/658/

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