Regularity theory for nonlocal equations with VMO coefficients

Nowak SN (2021)
arXiv: 2101.11690 .

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Abstract / Bemerkung
We prove higher regularity for nonlinear nonlocal equations with possibly discontinuous coefficients of VMO-type in fractional Sobolev spaces. 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, so that our result is in some sense of purely nonlocal type. By embedding, we also obtain higher Hölder regularity for such nonlocal equations.
Erscheinungsjahr
2021
Zeitschriftentitel
arXiv: 2101.11690
Page URI
https://pub.uni-bielefeld.de/record/2962557

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Nowak SN. Regularity theory for nonlocal equations with VMO coefficients. arXiv: 2101.11690 . 2021.
Nowak, S. N. (2021). Regularity theory for nonlocal equations with VMO coefficients. arXiv: 2101.11690 . https://doi.org/10.48550/ARXIV.2101.11690
Nowak, S. N. (2021). Regularity theory for nonlocal equations with VMO coefficients. arXiv: 2101.11690 .
Nowak, S.N., 2021. Regularity theory for nonlocal equations with VMO coefficients. arXiv: 2101.11690 .
S.N. Nowak, “Regularity theory for nonlocal equations with VMO coefficients”, arXiv: 2101.11690 , 2021.
Nowak, S.N.: Regularity theory for nonlocal equations with VMO coefficients. arXiv: 2101.11690 . (2021).
Nowak, Simon Noah. “Regularity theory for nonlocal equations with VMO coefficients”. arXiv: 2101.11690 (2021).

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