Tuesday, July 12, 2022 - 16:15 in V5-148
Sobolev regularity for nonlocal equations with VMO coefficients Part II
A talk in the Nonlocal Equations: Analysis and Numerics series by
Simon Noah Nowak from Bielefeld
| Abstract: |
We present some Sobolev regularity results of Calderón-Zygmund-type for nonlocal equations with possibly discontinuous coefficients of VMO-type. While for corresponding local elliptic equations with such irregular coefficients it is in general only possible to obtain higher integrability, in our nonlocal setting we are able to also prove a substantial amount of higher differentiability. This is achieved by carrying out a delicate level set analysis involving a certain notion of fractional gradients given by so-called dual pairs, which will be the main focus of the talk.
Within the CRC this talk is associated to the project(s): A7 |
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