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A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation
We prove a priori estimates for a solution of the first initial boundary-value problem for a system of fully nonlinear partial differential equations (PDE) in a bounded domain. In the proof, we reduce the initial boundary-value problem to a problem on a manifold without boundary and then reduce the...
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Інститут математики НАН України
1997
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156289 |
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irk-123456789-1562892019-06-19T01:25:07Z A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation Belopol’skaya, Ya.I. Статті We prove a priori estimates for a solution of the first initial boundary-value problem for a system of fully nonlinear partial differential equations (PDE) in a bounded domain. In the proof, we reduce the initial boundary-value problem to a problem on a manifold without boundary and then reduce the resulting system on the manifold to a scalar equation on the total space of the corresponding bundle over the manifold. Донедено апріорні оцінки для розв'язків першої початково-гранпчпої задачі для системи повністю нелінійних диференціальних рівняні» з частинними похідними в обмеженій області. При цьому початково-гранична задача зводиться до задачі на многовиді без границі, яка в свою чергу зводиться до скалярного рівняння па тотальному просторі відповідного розшарування над многовидом. 1997 Article A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation / Ya.I. Belopol’skaya // Український математичний журнал. — 1997. — Т. 49, № 3. — С. 338–363. — Бібліогр.: 11 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/156289 517.9 en Український математичний журнал Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| topic |
Статті Статті |
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Статті Статті Belopol’skaya, Ya.I. A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation Український математичний журнал |
| description |
We prove a priori estimates for a solution of the first initial boundary-value problem for a system of fully nonlinear partial differential equations (PDE) in a bounded domain. In the proof, we reduce the initial boundary-value problem to a problem on a manifold without boundary and then reduce the resulting system on the manifold to a scalar equation on the total space of the corresponding bundle over the manifold. |
| format |
Article |
| author |
Belopol’skaya, Ya.I. |
| author_facet |
Belopol’skaya, Ya.I. |
| author_sort |
Belopol’skaya, Ya.I. |
| title |
A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation |
| title_short |
A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation |
| title_full |
A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation |
| title_fullStr |
A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation |
| title_full_unstemmed |
A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation |
| title_sort |
priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation |
| publisher |
Інститут математики НАН України |
| publishDate |
1997 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156289 |
| citation_txt |
A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation / Ya.I. Belopol’skaya // Український математичний журнал. — 1997. — Т. 49, № 3. — С. 338–363. — Бібліогр.: 11 назв. — англ. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT belopolskayayai aprioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequation AT belopolskayayai prioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequation |
| first_indexed |
2023-05-20T17:39:58Z |
| last_indexed |
2023-05-20T17:39:58Z |
| _version_ |
1796153813583790080 |