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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     author = {Juha Kinnunen and Peter Lindqvist and Teemu Lukkari},
     title = {Perron's method for the porous medium equation},
     journal = {Journal of the European Mathematical Society},
     pages = {2953--2969},
     year = {2016},
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     number = {12},
     doi = {10.4171/jems/658},
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}
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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

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