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Jana Björn: Barrier families and boundary regularity for the porous medium equation

Time: Tue 2022-12-06 14.00 - 15.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Jana Björn - Linköping University

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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.