A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations
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...
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5012 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792197542019072 |
|---|---|
| author | Belopol’skaya, Ya. I. Білопільська, Я. І. |
| author_facet | Belopol’skaya, Ya. I. Білопільська, Я. І. |
| author_institution_txt_mv | [
{
"author": "Ya. I. Belopol’skaya",
"institution": null
}
] |
| author_sort | Belopol’skaya, Ya. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:53Z |
| 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. |
| first_indexed | 2026-03-24T03:09:16Z |
| format | Article |
| fulltext |
0013
0014
0015
0016
0017
0018
0019
0020
0021
0022
0023
0024
0025
0026
0027
0028
0029
0030
0031
0032
0033
0034
0035
0036
0037
0038
|
| id | umjimathkievua-article-5012 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:09:16Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0f/ad7c7762f5571cee2bc245d94a193a0f.pdf |
| spelling | umjimathkievua-article-50122020-03-18T21:22:53Z A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equation Belopol’skaya, Ya. I. Білопільська, Я. І. 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. Institute of Mathematics, NAS of Ukraine 1997-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5012 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 3 (1997); 338–363 Український математичний журнал; Том 49 № 3 (1997); 338–363 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5012/6723 https://umj.imath.kiev.ua/index.php/umj/article/view/5012/6724 Copyright (c) 1997 Belopol’skaya Ya. I. |
| spellingShingle | Belopol’skaya, Ya. I. Білопільська, Я. І. A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations |
| title | A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations |
| title_alt | 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 equations |
| title_fullStr | A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations |
| title_full_unstemmed | A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations |
| title_short | A priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations |
| title_sort | priori estimates for solutions of the first initial boundary-value problem for systems of fully nonlinear partial differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5012 |
| work_keys_str_mv | AT belopolskayayai aprioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequations AT bílopílʹsʹkaâí aprioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequations AT belopolskayayai aprioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequation AT bílopílʹsʹkaâí aprioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequation AT belopolskayayai prioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequations AT bílopílʹsʹkaâí prioriestimatesforsolutionsofthefirstinitialboundaryvalueproblemforsystemsoffullynonlinearpartialdifferentialequations |