Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach
In this paper, we prove the existence and uniqueness results of an entropy solution to a class of nonlinear degenerate parabolic problem with Dirichlet-type boundary condition and L1 data. The main tool used here is the Rothe's time-discretization approach combined with the theory of weighted...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63558 |
| _version_ | 1827767804771696640 |
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| author | Abdelali Sabri Ahmed Jamea |
| author_facet | Abdelali Sabri Ahmed Jamea |
| author_sort | Abdelali Sabri |
| collection | DOAJ |
| description |
In this paper, we prove the existence and uniqueness results of an entropy solution to a class of nonlinear degenerate parabolic problem with Dirichlet-type boundary condition and L1 data. The main tool used here is the Rothe's time-discretization approach combined with the theory of weighted Sobolev spaces.
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| first_indexed | 2024-03-11T12:03:03Z |
| format | Article |
| id | doaj.art-d1bfb3d9c43f451ebb3e93d7dd45d123 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T12:03:03Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-d1bfb3d9c43f451ebb3e93d7dd45d1232023-11-07T20:10:35ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.63558Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approachAbdelali Sabri0Ahmed Jamea1Université Hassan PremierCRMEF Casablanca-Settat In this paper, we prove the existence and uniqueness results of an entropy solution to a class of nonlinear degenerate parabolic problem with Dirichlet-type boundary condition and L1 data. The main tool used here is the Rothe's time-discretization approach combined with the theory of weighted Sobolev spaces. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63558 |
| spellingShingle | Abdelali Sabri Ahmed Jamea Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach Boletim da Sociedade Paranaense de Matemática |
| title | Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach |
| title_full | Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach |
| title_fullStr | Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach |
| title_full_unstemmed | Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach |
| title_short | Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach |
| title_sort | entropy solution for a nonlinear degenerate parabolic problem in weighted sobolev space via rothe s time discretization approach |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63558 |
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