Barrier families and boundary regularity for the porous medium equation

Date: 2022-12-06

Time: 14:00 - 15:00

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Jana Björn


We use the Perron method to solve the Dirichlet problem for the porous medium equation in non-cylindrical domains. Using a new strict comparison principle, we obtain resolutivity for positive continous boundary data in finite unions of cylinders and characterize regular boundary points by means of barriers.