Speaker: Shiping Cao

Title: Boundary Harnack Principle of non-local operators

Abstract: In this talk, I will present a scale invariant boundary Harnack principle on any open sets 

for a large class of jump diffusions on metric measure spaces. These jump diffusions can be non-symmetric. In particular, we establish a scale invariant boundary Harnack principle on any open sets for divergence form as well as non-divergence form non-local operators having measurable mixed stable-like jumping kernels on Euclidean spaces. This is a joint work with Zhen-Qing Chen.