[GS_M_APP] Nonlocal elliptic and parabolic equations with general stable operators in weighted Sobolev spaces
ABSTRACT
In this talk, we will discuss nonlocal elliptic and parabolic equations on C^{1,tau} open sets in weighted Sobolev spaces, where tau in (0,1).
The operators we consider are infinitesimal generators of symmetric stable L'evy processes, whose L'evy measures are allowed to be very singular. Additionally, for parabolic equations, the measures are assumed to be merely measurable in the time variable. This talk is based on a joint work with Hongjie Dong.
