Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Holder Regularity for the Gradients of Solutions of Degenerate Parabolic Systems
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| Creator |
Lieberman, G.M.
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| 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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| Date |
2017-09-29T09:34:46Z
2017-09-29T09:34:46Z 2006 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/124558 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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