| dc.contributor.author | Granero Belinchón, Rafael | |
| dc.contributor.author | Magliocca, Martina | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2024-11-05T17:19:16Z | |
| dc.date.available | 2024-11-05T17:19:16Z | |
| dc.date.issued | 2024-11 | |
| dc.identifier.issn | 1553-5258 | |
| dc.identifier.issn | 1534-0392 | |
| dc.identifier.other | PID2019-109348GA-I00 | es_ES |
| dc.identifier.other | PID2022-141187NB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/34401 | |
| dc.description.abstract | In this paper we established three global in time results for two fourth order nonlinear parabolic equations. The first of such equations involved the Hessian and appeared in epitaxial growth. For such an equation, we gave conditions ensuring the global existence of the solution. For certain regime of the parameters, our size condition involved the norm in a critical space with respect to the scaling of the equation and improved previous existing results in the literature for this equation. The second of the equations under study was a thin film equation with a porous medium nonlinearity. For this equation, we established conditions leading to the global existence of the solution. | es_ES |
| dc.description.sponsorship | R.G-B was supported by the project “Mathematical Analysis of Fluids and Applications” Grant PID2019-109348GA-I00 funded by MCIN/AEI/ 10.13039/501100011033 and acronym “MAFyA”. This publication is part of the project PID2019-109348GA-I00 funded by MCIN/ AEI /10.13039/501100011033. R.G-B is also supported by a 2021 Leonardo Grant for Researchers and Cultural Creators, BBVA Foundation. The BBVA Foundation accepts no responsibility for the opinions, statements, and contents included in the project and/or the results thereof, which
are entirely the responsibility of the authors. The work of M.M. was partially supported by Grant RYC2021-033698-I, funded by the Ministry of Science and Innovation/State Research Agency/10.13039/501100011033 and by the European Union “NextGenerationEU/Recovery, Transformation and Resilience Plan”. Both authors are funded by the project “Análisis Matemático Aplicado y Ecuaciones Diferenciales” Grant PID2022-141187NB-I00 funded by MCIN /AEI /10.13039/501100011033 / FEDER, UE and acronym “AMAED”. This publication is part of the project PID2022-141187NB-I00 funded by MCIN/ AEI /10.13039/501100011033. | es_ES |
| dc.format.extent | 15 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | AIMS Press | es_ES |
| dc.rights | © American Institute of Mathematical Sciences. This article has been accepted for publication in a revised form in Communications on Pure and Applied Analysis (CPAA), https://www.aimsciences.org/cpaa. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works. | es_ES |
| dc.source | Communications on Pure and Applied Analysis, 2024, 23(11), 1646-1660 | es_ES |
| dc.subject.other | Higher order parabolic equations | es_ES |
| dc.subject.other | Global solutions | es_ES |
| dc.subject.other | Epitaxial growth | es_ES |
| dc.subject.other | Thin films | es_ES |
| dc.title | Global existence for certain fourth order evolution equations | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.3934/cpaa.2024060 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-109348GA-I00/ES/ANALISIS MATEMATICO DE LOS FLUIDOS Y APLICACIONES/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-141187NB-I00/ES/ANALISIS MATEMATICO APLICADO Y ECUACIONES DIFERENCIALES/ | es_ES |
| dc.identifier.DOI | 10.3934/cpaa.2024060 | |
| dc.type.version | acceptedVersion | es_ES |
