Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lectures 11-12, 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 )

1:00 pm - 2:15 pm

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 11, Ugur Abdulla: Newtonian potential and Capacity.

2:15 pm - 2:45 pm
Tea / Coffee Break

2:45 pm - 4:00 pm

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 12 (Active Learning Session), Ugur Abdulla: Existence and uniqueness of the capacitary measure for the compact sets. Properties of equilibrium measure and their potentials. Wiener's criterion for the boundary regularity.