Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lectures 3-4, 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 3, Ugur Abdulla, Green's function, Green representation formula; Green's function for a ball; Poisson integral;

10:30 am - 11:45 am

Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs – Lecture 4 (Active Learning Session), Ugur Abdulla, Properties of the Poisson integral with Lebesgue integrable boundary function; solvability of the classical Dirichlet problem in a ball for any continuous boundary function;