# 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

**Abstract:**

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.