Monday, February 21, 2022 - 16:15 in H7 + Zoom
Sobolev regularity for nonlocal equations with VMO coefficients
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 nonlinear nonlocal equations with possibly discontinuous coefficients of VMO-type. While for corresponding local elliptic equations with VMO coefficients it is only possible to obtain higher integrability, in our nonlocal setting we are able to also prove a substantial amount of higher differentiability. Therefore, our results are in some sense of purely nonlocal type, following a recent trend of such results in the literature.
Within the CRC this talk is associated to the project(s): A3, A7 |
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