Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems
We study a class of parabolic systems of the form vt = div(F(|Dv|Dv). The function F satisfies a few technical hypotheses which are satisfied, for example, by F(s) = sⁿ⁻² with n > 1. Hence our results extend the standard results for the parabolic p-Laplacian operator. The method of proof is simil...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124558 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems / G.M. Lieberman // Український математичний вісник. — 2006. — Т. 3, № 3. — С. 352-373. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862679312469065728 |
|---|---|
| author | Lieberman, G.M. |
| author_facet | Lieberman, G.M. |
| citation_txt | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems / G.M. Lieberman // Український математичний вісник. — 2006. — Т. 3, № 3. — С. 352-373. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We study a class of parabolic systems of the form vt = div(F(|Dv|Dv). The function F satisfies a few technical hypotheses which are satisfied, for example, by F(s) = sⁿ⁻² with n > 1. Hence our results extend the standard results for the parabolic p-Laplacian operator. The method of proof is similar to the usual one but uses some new ideas about Poincar´e-type inequalities and a special Gehring inequality.
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| first_indexed | 2025-12-07T15:43:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124558 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T15:43:00Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Lieberman, G.M. 2017-09-29T09:34:46Z 2017-09-29T09:34:46Z 2006 Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems / G.M. Lieberman // Український математичний вісник. — 2006. — Т. 3, № 3. — С. 352-373. — Бібліогр.: 20 назв. — англ. 1810-3200 2000 MSC. 35K40, 35K55, 35B45. https://nasplib.isofts.kiev.ua/handle/123456789/124558 We study a class of parabolic systems of the form vt = div(F(|Dv|Dv). The function F satisfies a few technical hypotheses which are satisfied, for example, by F(s) = sⁿ⁻² with n > 1. Hence our results extend the standard results for the parabolic p-Laplacian operator. The method of proof is similar to the usual one but uses some new ideas about Poincar´e-type inequalities and a special Gehring inequality. en Інститут прикладної математики і механіки НАН України Український математичний вісник Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems Article published earlier |
| spellingShingle | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems Lieberman, G.M. |
| title | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems |
| title_full | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems |
| title_fullStr | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems |
| title_full_unstemmed | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems |
| title_short | Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems |
| title_sort | holder regularity for the gradients of solutions of degenerate parabolic systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124558 |
| work_keys_str_mv | AT liebermangm holderregularityforthegradientsofsolutionsofdegenerateparabolicsystems |