Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces
In this work, we prove an existence result of entropy solutions in Musielak-Orlicz-Sobolev spaces for a class of nonlinear parabolic equations with two lower order terms and L1-data.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2019-05-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36594 |
| _version_ | 1827767196275703808 |
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| author | Abdeslam Talha Abdelmoujib Benkirane |
| author_facet | Abdeslam Talha Abdelmoujib Benkirane |
| author_sort | Abdeslam Talha |
| collection | DOAJ |
| description | In this work, we prove an existence result of entropy solutions in Musielak-Orlicz-Sobolev spaces for a class of nonlinear parabolic equations with two lower order terms and L1-data. |
| first_indexed | 2024-03-11T11:55:24Z |
| format | Article |
| id | doaj.art-f72676deb2fd4b418cb4ca293f5a3743 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:24Z |
| publishDate | 2019-05-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-f72676deb2fd4b418cb4ca293f5a37432023-11-08T20:07:15ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882019-05-0138610.5269/bspm.v38i6.36594Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spacesAbdeslam Talha0Abdelmoujib Benkirane1University Sidi Mohamed Ben Abdellah Faculty of Sciences Dhar El Mahraz Laboratory LAMA Department of MathematicsUniversity Sidi Mohamed Ben Abdellah Faculty of Sciences Dhar El Mahraz Laboratory LAMA Department of MathematicsIn this work, we prove an existence result of entropy solutions in Musielak-Orlicz-Sobolev spaces for a class of nonlinear parabolic equations with two lower order terms and L1-data.https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36594Parabolic problemsInhomogeneous Musielak-Orlicz-Sobolev spaceentropy solutions |
| spellingShingle | Abdeslam Talha Abdelmoujib Benkirane Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces Boletim da Sociedade Paranaense de Matemática Parabolic problems Inhomogeneous Musielak-Orlicz-Sobolev space entropy solutions |
| title | Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces |
| title_full | Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces |
| title_fullStr | Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces |
| title_full_unstemmed | Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces |
| title_short | Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces |
| title_sort | existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in musielak orlicz spaces |
| topic | Parabolic problems Inhomogeneous Musielak-Orlicz-Sobolev space entropy solutions |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36594 |
| work_keys_str_mv | AT abdeslamtalha existenceofsolutionsforsomestronglynonlinearparabolicproblemsinvolvinglowerordertermsindivergenceforminmusielakorliczspaces AT abdelmoujibbenkirane existenceofsolutionsforsomestronglynonlinearparabolicproblemsinvolvinglowerordertermsindivergenceforminmusielakorliczspaces |