Publicação
Existence of weak solutions for parabolic equations involving the p(x,t)-Laplacian with non-continuous, unbounded p
| datacite.subject.sdg | 09:Indústria, Inovação e Infraestruturas | |
| datacite.subject.sdg | 04:Educação de Qualidade | |
| datacite.subject.sdg | 17:Parcerias para a Implementação dos Objetivos | |
| dc.contributor.author | Bae, Hyeong-Ohk | |
| dc.contributor.author | Borges de Oliveira, Hermenegildo | |
| dc.contributor.author | Wolf, Jörg | |
| dc.date.accessioned | 2026-06-24T11:52:21Z | |
| dc.date.available | 2026-06-24T11:52:21Z | |
| dc.date.issued | 2026-11 | |
| dc.description.abstract | We consider a parabolic equation involving the p(x,t)-Laplacian as a prime term in a time-space cylinder QT := Ω × (0,T) ⊂ Rd ×R,d≥ 2. We assume that p(x,t): QT → (1,+∞) is a continuous function, except in a closed set of zero measure. Under the assumption that p is unbounded, such that 1 < infK×(δ,T)p(x,t) ≤ supK× (δ,T) p(x,t) < ∞ for every compact set K ⊂ Ω and δ ∈ (0,T), we prove the existence of a weak solution to the corresponding initial- and boundary-value problem for any given initial velocity in L2(Ω). © 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. | eng |
| dc.identifier.doi | 10.1016/j.jmaa.2026.130732 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/29136 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Elsevier | |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.rights.uri | N/A | |
| dc.subject | Existence of weak solutions | |
| dc.subject | Lipschitz truncation¸ Local minty lemma | |
| dc.subject | Compactness lemma | |
| dc.title | Existence of weak solutions for parabolic equations involving the p(x,t)-Laplacian with non-continuous, unbounded p | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 130732 | |
| oaire.citation.title | Journal of Mathematical Analysis and Applications | |
| oaire.citation.volume | 563 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Borges de Oliveira | |
| person.givenName | Hermenegildo | |
| person.identifier.ciencia-id | 4A15-7156-6A00 | |
| person.identifier.orcid | 0000-0001-9053-8442 | |
| person.identifier.rid | F-3186-2014 | |
| person.identifier.scopus-author-id | 7004475473 | |
| relation.isAuthorOfPublication | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 | |
| relation.isAuthorOfPublication.latestForDiscovery | 6f0df0e9-24bf-43d5-97b3-4a709a59e2b5 |