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
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.