Nonexistence of solutions to fractional parabolic problem with general nonlinearities

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizaciónes_ES
dc.contributor.authorZhang, Lihong
dc.contributor.authorLiu, Yuchuan
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorWang, Guotao
dc.date.accessioned2023-11-13T12:42:20Z
dc.date.available2023-11-13T12:42:20Z
dc.date.issued2023-07-17
dc.description.abstractIn this content, we investigate a class of fractional parabolic equation with general nonlinearities ∂z(x, t) ∂t − ( + λ) β 2 z(x, t) = a(x1) f (z), where a and f are nondecreasing functions. We first prove that the monotone increasing property of the positive solutions in x1 direction. Based on this, nonexistence of the solutions are obtained by using a contradiction argument. We believe these new ideas we introduced will be applied to solve more fractional parabolic problems.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThe research of Zhang has been partially supported by National Natural Science Foun dation of China(No. 12001344) and the Graduate Education and Teaching Innovation Project of Shanxi, China (No. 2022YJJG124), the research of Nieto has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant PID2020-113275GB-I00, cofinanced by the European Community fund FEDER, as well as Xunta de Galicia grant ED431C 2019/02 for Competitive Reference Research Groups (2019–22) and the research of Wang has been partially supported by Natural Science Foundation of Shanxi Province, China(No. 20210302123339)es_ES
dc.identifier.citationRend. Circ. Mat. Palermo, II. Ser (2023)es_ES
dc.identifier.doi10.1007/s12215-023-00932-1
dc.identifier.essn1973-4409
dc.identifier.issn0009-725X
dc.identifier.urihttp://hdl.handle.net/10347/31268
dc.journal.titleRendiconti del Circolo Matematico di Palermo Series 2
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113275GB-I00/ES/ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONES/es_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s12215-023-00932-1es_ES
dc.rights© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were madees_ES
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFractional parabolic equationes_ES
dc.subjectGeneral nonlinearityes_ES
dc.subjectTempered fractional Laplacianes_ES
dc.subjectMonotonicityes_ES
dc.titleNonexistence of solutions to fractional parabolic problem with general nonlinearitieses_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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