Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lectures 9-10, Ugur Abdulla

2nd OIST-Oxford-SLMath Summer Graduate School on Analysis and Partial Differential Equations

Course II: Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs (Ugur Abdulla )

9:00 am - 10:15 am

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 9, Ugur Abdulla: Boundary regularity and barrier, Bouligand's theorem.

10:30 am - 11:45 am

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 10 (Active Learning Session), Ugur Abdulla: Exterior cone condition for the boundary regularity, counterexample of boundary irregularity, Lebesgue's cusp.