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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| Published in: | Український математичний вісник |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124558 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems |
| spellingShingle |
Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems Lieberman, G.M. |
| title_short |
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_sort |
holder regularity for the gradients of solutions of degenerate parabolic systems |
| author |
Lieberman, G.M. |
| author_facet |
Lieberman, G.M. |
| publishDate |
2006 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124558 |
| 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. |
| work_keys_str_mv |
AT liebermangm holderregularityforthegradientsofsolutionsofdegenerateparabolicsystems |
| first_indexed |
2025-12-07T15:43:00Z |
| last_indexed |
2025-12-07T15:43:00Z |
| _version_ |
1850864755557793792 |