Mixed boundary-value problem for linear second-order nondivergent parabolic equations with discontinuous coefficients
The mixed boundary-value problem is considered for linear second-order nondivergent parabolic equations with discontinuous coefficients satisfying the Cordes conditions. The one-valued strong (almost everywhere) solvability of this problem is proved in the space Ŵ2,1p, where p belongs to the same se...
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| Date: | 2014 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/166119 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Mixed boundary-value problem for linear second-order nondivergent parabolic equations with discontinuous coefficients / A.F. Guliyev, S.H. Ismayilova // Український математичний журнал. — 2014. — Т. 66, № 11. — С. 1443–1462. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The mixed boundary-value problem is considered for linear second-order nondivergent parabolic equations with discontinuous coefficients satisfying the Cordes conditions. The one-valued strong (almost everywhere) solvability of this problem is proved in the space Ŵ2,1p, where p belongs to the same segment containing point 2. |
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