Sobolev estimates for fractional PDEs

Abstract: I will discuss some recent results on Sobolev estimates for fractional elliptic and parabolic equations with or without weights. We considered equations with time fractional derivatives of the Caputo type, or with nonlocal derivatives in the space variables, or both. This is based on joint work with Doyoon Kim (Korea University) and Yanze Liu (Brown).

analysis of PDEs

Audience: researchers in the topic

PDE seminar via Zoom