Improved Sobolev regularity for linear nonlocal equations with VMO coefficients
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00208-022-02369-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7412 |
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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 |
8.881002 |