Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity

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dc.contributor.authorMashiyev, Rabil Ayazoglu
dc.contributor.authorEkincioglu, Ismail
dc.date.accessioned2024-10-04T18:51:21Z
dc.date.available2024-10-04T18:51:21Z
dc.date.issued2022
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this article, we study the blow-up properties of solutions to a parabolic problem with a gradient nonlinearity under homogeneous Dirichlet boundary conditions. By constructing an auxiliary function and by modifying the first order differential inequality, we obtain lower bounds for the blow-up time of solutions in L-k (Omega) (k > 1) norm and conditions which ensure that blow-up cannot occur.en_US
dc.description.sponsorshipCooperation Program 2532 TUBITAK-RFBR (Russian foundation for basic research) [119N455]en_US
dc.description.sponsorshipThe authors would like to thank the reviewers for valuable suggestions and corrections. The research of I. Ekincioglu was supported by the grant of Cooperation Program 2532 TUBITAK-RFBR (Russian foundation for basic research) with agreement number no. 119N455.en_US
dc.identifier.doi10.1007/s41808-022-00147-y
dc.identifier.endpage207en_US
dc.identifier.issn2296-9020
dc.identifier.issn2296-9039
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85124046874en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage197en_US
dc.identifier.urihttps://doi.org/10.1007/s41808-022-00147-y
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3471
dc.identifier.volume8en_US
dc.identifier.wosWOS:000749388500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofJournal of Elliptic and Parabolic Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear parabolic problemen_US
dc.subjectGradient nonlinearityen_US
dc.subjectBlow-up timeen_US
dc.subjectLower boundsen_US
dc.subjectNonblow-upen_US
dc.titleLower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearityen_US
dc.typeArticleen_US

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