Artykuł
On the solvability of some parabolic equations involving nonlinear boundary conditions with L1 data
creativeworkseries.issn | 1232-9274 | |
dc.contributor.author | Taourirte, Laila | |
dc.contributor.author | Charkaoui, Abderrahim | |
dc.contributor.author | Alaa, Nour Eddine | |
dc.date.issued | 2024 | |
dc.description.abstract | We analyze the existence of solutions for a class of quasilinear parabolic equations with critical growth nonlinearities, nonlinear boundary conditions, and $L^1$ data. We formulate our problems in an abstract form, then using some techniques of functional analysis, such as Leray-Schauder's topological degree associated with the truncation method and very interesting compactness results, we establish the existence of weak solutions to the proposed models. | en |
dc.description.placeOfPublication | Kraków | |
dc.description.version | wersja wydawnicza | |
dc.identifier.doi | https://doi.org/10.7494/OpMath.2024.44.4.587 | |
dc.identifier.eissn | 2300-6919 | |
dc.identifier.issn | 1232-9274 | |
dc.identifier.uri | https://repo.agh.edu.pl/handle/AGH/108415 | |
dc.language.iso | eng | |
dc.publisher | Wydawnictwa AGH | |
dc.rights | Attribution 4.0 International | |
dc.rights.access | otwarty dostęp | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/legalcode | |
dc.subject | quasilinear parabolic equation, nonlinear boundary conditions, weak solutions, Leray-Schauder topological degree, $L^1$-data. | en |
dc.title | On the solvability of some parabolic equations involving nonlinear boundary conditions with L1 data | en |
dc.title.related | Opuscula Mathematica | |
dc.type | artykuł | |
dspace.entity.type | Publication | |
publicationissue.issueNumber | No. 4 | |
publicationissue.pagination | pp. 587-623 | |
publicationvolume.volumeNumber | Vol. 44 | |
relation.isJournalIssueOfPublication | 958a565f-0ba8-4db5-bbd6-a87484b6015d | |
relation.isJournalIssueOfPublication.latestForDiscovery | 958a565f-0ba8-4db5-bbd6-a87484b6015d | |
relation.isJournalOfPublication | 304b3b9b-59b9-4830-9178-93a77e6afbc7 |
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