OIST-Oxford-SLMath Summer School 2024

Course : Perron’s method and Wiener-type criteria in the potential theory of elliptic and parabolic PDEs

​Monday, July 29

• 9:00-10:15.  Lecture 1. Ugur Abdulla, Harmonic functions - the mathematical representation of physical quantities in equilibrium

• 10:30-11:45. Lecture 2/active learning session (als). Ugur Abdulla, Fundamental harmonic function, representation formula for the gravitational potential via Poisson PDE

• 13:00-14:15. Lecture 3. Ugur Abdulla, Mean value formula and strong maximum principle.

• 14:45-16:00. Lecture 4/als. Ugur Abdulla, Green's function and Poisson integral formula