Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form
In this article, we consider a quasilinear parabolic system under fair general conditions with form-boundary conditions on the singular coefficients. We establish the requirements on the structural coefficients of the parabolic system under which the quasilinear system has the unique solution in the...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2024-01-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/162 |
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| _version_ | 1849433522732793856 |
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| author | Mykola Yaremenko |
| author_facet | Mykola Yaremenko |
| author_sort | Mykola Yaremenko |
| collection | DOAJ |
| description | In this article, we consider a quasilinear parabolic system under fair general conditions with form-boundary conditions on the singular coefficients. We establish the requirements on the structural coefficients of the parabolic system under which the quasilinear system has the unique solution in the Holder functional space. |
| format | Article |
| id | doaj-art-b9328593e2d04a5d82875b7ca6ffe677 |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-b9328593e2d04a5d82875b7ca6ffe6772025-08-20T03:27:01ZengMathyze PublishersPan-American Journal of Mathematics2832-42932024-01-013010.28919/cpr-pajm/3-239Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent FormMykola Yaremenko0kpiIn this article, we consider a quasilinear parabolic system under fair general conditions with form-boundary conditions on the singular coefficients. We establish the requirements on the structural coefficients of the parabolic system under which the quasilinear system has the unique solution in the Holder functional space.https://mathyze.com/index.php/pajm/article/view/162 |
| spellingShingle | Mykola Yaremenko Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form Pan-American Journal of Mathematics |
| title | Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form |
| title_full | Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form |
| title_fullStr | Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form |
| title_full_unstemmed | Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form |
| title_short | Holder Solvability of Quasi-Linear Parabolic Systems in the Divergent Form |
| title_sort | holder solvability of quasi linear parabolic systems in the divergent form |
| url | https://mathyze.com/index.php/pajm/article/view/162 |
| work_keys_str_mv | AT mykolayaremenko holdersolvabilityofquasilinearparabolicsystemsinthedivergentform |