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arxiv: 1401.4277 · v2 · pith:PWCPB4NXnew · submitted 2014-01-17 · 🧮 math.AP

Perron's method for the porous medium equation

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keywords equationmediummethodperronporousboundarycasecontinuous
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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.

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