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Improved Sobolev regularity for linear nonlocal equations with VMO coefficients

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Bibliographic Details
Main Author: Simon, Nowak
Format: Book
Language:English
Published: Springer 2023
Subjects:
VMO-type
BMO
Online Access:https://link.springer.com/article/10.1007/s00208-022-02369-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7412
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spelling oai:localhost:PNK-74122023-04-03T03:33:32Z Improved Sobolev regularity for linear nonlocal equations with VMO coefficients Simon, Nowak VMO-type BMO CC BY This work is concerned with both higher integrability and differentiability for linear nonlocal equations with possibly very irregular coefficients of VMO-type or even coefficients that are merely small in BMO. In particular, such coefficients might be discontinuous. While for corresponding local elliptic equations with VMO coefficients such a gain of Sobolev regularity along the differentiability scale is unattainable, it was already observed in previous works that gaining differentiability in our nonlocal setting is possible under less restrictive assumptions than in the local setting 2023-04-03T02:25:12Z 2023-04-03T02:25:12Z 2022 Book https://link.springer.com/article/10.1007/s00208-022-02369-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7412 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic VMO-type
BMO
spellingShingle VMO-type
BMO
Simon, Nowak
Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
description CC BY
format Book
author Simon, Nowak
author_facet Simon, Nowak
author_sort Simon, Nowak
title Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
title_short Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
title_full Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
title_fullStr Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
title_full_unstemmed Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
title_sort improved sobolev regularity for linear nonlocal equations with vmo coefficients
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00208-022-02369-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7412
_version_ 1762184301363855360
score 8.891787

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