On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations
In this work, the first boundary-value problem is considered for second-order degenerate elliptic-parabolic equation with, generally speaking, discontinuous coefficients. The matrix of senior coefficients satisfies the parabolic Cordes condition with respect to space variables. We prove that the gen...
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| Дата: | 2008 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2008
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| Назва видання: | Український математичний журнал |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/164686 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations / T.S. Gadjiev, E.R. Gasimova // Український математичний журнал. — 2008. — Т. 60, № 6. — С. 723–736. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1646862020-02-11T01:28:00Z On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations Gadjiev, T.S. Gasimova, E.R. Статті In this work, the first boundary-value problem is considered for second-order degenerate elliptic-parabolic equation with, generally speaking, discontinuous coefficients. The matrix of senior coefficients satisfies the parabolic Cordes condition with respect to space variables. We prove that the generalized solution to the problem belongs to the Hölder space C1+λ if the right-hand side f belongs to Lp , p > n . Розглянуто першу крайову задачу для виродженого еліптично-параболічного рівняння другого порядку із, взагалі кажучи, розривними коефіцієнтами. Матриця старших коефіцієнтів задовольняє параболічну умову Кордеса за просторовими змінними. Доведено, що узагальнений розв'язок задачі належить до простору Гельдера C 1+λ, якщо права частина f належить Lp, p > n. 2008 Article On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations / T.S. Gadjiev, E.R. Gasimova // Український математичний журнал. — 2008. — Т. 60, № 6. — С. 723–736. — Бібліогр.: 7 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164686 517.9 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Gadjiev, T.S. Gasimova, E.R. On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations Український математичний журнал |
| description |
In this work, the first boundary-value problem is considered for second-order degenerate elliptic-parabolic equation with, generally speaking, discontinuous coefficients. The matrix of senior coefficients satisfies the parabolic Cordes condition with respect to space variables. We prove that the generalized solution to the problem belongs to the Hölder space C1+λ if the right-hand side f belongs to Lp , p > n . |
| format |
Article |
| author |
Gadjiev, T.S. Gasimova, E.R. |
| author_facet |
Gadjiev, T.S. Gasimova, E.R. |
| author_sort |
Gadjiev, T.S. |
| title |
On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations |
| title_short |
On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations |
| title_full |
On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations |
| title_fullStr |
On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations |
| title_full_unstemmed |
On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations |
| title_sort |
on the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/164686 |
| citation_txt |
On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations / T.S. Gadjiev, E.R. Gasimova // Український математичний журнал. — 2008. — Т. 60, № 6. — С. 723–736. — Бібліогр.: 7 назв. — англ. |
| series |
Український математичний журнал |
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AT gadjievts onthesmoothnessofasolutionofthefirstboundaryvalueproblemforsecondorderdegenerateellipticparabolicequations AT gasimovaer onthesmoothnessofasolutionofthefirstboundaryvalueproblemforsecondorderdegenerateellipticparabolicequations |
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2023-10-18T22:14:11Z |
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2023-10-18T22:14:11Z |
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1796154980946673664 |