Blow-up results for a class of p-Laplacian heat equations with logarithmic nonlinearity
| dc.contributor.author | Razik, Belhaoues | |
| dc.contributor.author | Biccari, Umberto | |
| dc.contributor.author | Abita, Rahmoune | |
| dc.date.accessioned | 2026-10-06T14:57:50Z | |
| dc.date.available | 2026-10-06T14:57:50Z | |
| dc.date.issued | 2026-09-07 | |
| dc.date.updated | 2026-10-06T14:57:50Z | |
| dc.description.abstract | In this paper, we consider an initial-boundary value problem for the following mixed pseudo-parabolic p(.)-Laplacian type equation with logarithmic nonlinearity on a bounded and regular domain. By adapting the first-order differential inequality method, we establish a blow-up criterion for the solutions and obtain an upper bound for the blow-up time. Besides, we show that blow-up may be prevented under appropriate smallness conditions on the initial datum, in which case we also establish decay estimates in the H10(Ω)-norm as t → +∞. We also give a two-dimensional numerical example to confirm the validity of our theoretical results. | en |
| dc.identifier.citation | Belhaoues, R., Biccari, U., & Abita, R. (2026). Blow-up results for a class of p-Laplacian heat equations with logarithmic nonlinearity. Studia Universitatis Babes-Bolyai Mathematica, 71(3), 399-420. https://doi.org/10.24193/SUBBMATH.2026.3.5 | |
| dc.identifier.doi | 10.24193/SUBBMATH.2026.3.5 | |
| dc.identifier.eissn | 2065-961X | |
| dc.identifier.issn | 0252-1938 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14454/6750 | |
| dc.language.iso | eng | |
| dc.publisher | Babes-Bolyai University | |
| dc.rights | © Studia UBB MATHEMATICA | |
| dc.subject.other | Blow-up time | |
| dc.subject.other | Bounds of the blow-up time | |
| dc.subject.other | Logarithmic nonlinearity | |
| dc.subject.other | Pseudo-parabolic equation | |
| dc.subject.other | Variable nonlinearity | |
| dc.title | Blow-up results for a class of p-Laplacian heat equations with logarithmic nonlinearity | en |
| dc.type | journal article | |
| dcterms.accessRights | open access | |
| oaire.citation.endPage | 420 | |
| oaire.citation.issue | 3 | |
| oaire.citation.startPage | 399 | |
| oaire.citation.title | Studia Universitatis Babes-Bolyai Mathematica | |
| oaire.citation.volume | 71 | |
| oaire.licenseCondition | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| oaire.version | VoR |
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