Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lectures 7-8, 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 7, Ugur Abdulla: Superharmonic function minimum principle. Perron's method.

10:30 am - 11:45 am

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 8 (Active Learning Session), Ugur Abdulla: Boundary regularity of harmonic functions. The criterion for uniqueness in arbitrary open sets.