Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs - Lectures 17-19, 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 17, Ugur Abdulla: h-potential theory, h-caloric capacity and their properties. Formulation of the Wiener-type criterion for the removability of the fundamental singularity, and for the uniqueness of the singular solutions of the parabolic Dirichlet problem (Abdulla, 2025).

10:30 am - 11:45 am

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 18 (Active Learning Session), Ugur Abdulla, Proof of the Wiener-type criterion for the removability of the fundamental singularity, and for the uniqueness of the singular solutions of the parabolic Dirichlet problem (Abdulla, 2025) - Part I

12:00 pm - 1:00 pm
(Lunch Break)

1:00 pm - 2:15 pm

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 19, Ugur Abdulla, Proof of the Wiener-type criterion for the removability of the fundamental singularity, and for the uniqueness of the singular solutions of the parabolic Dirichlet problem (Abdulla, 2025) - Part II