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 14, Ugur Abdulla: Parabolic measure, regularity of infinity. Equivalency lemma: regularity of infinity is equivalent to uniqueness and the regularity of the solution at infinity. Exterior hyperbolic paraboloid condition at infinity.