Bayburt ÜniversitesiBayburt ÜniversitesiAçık Erişim Arşivi · RDL Open

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

MakaleYalnız künyeScopus SJRQ2

Özet

In 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 Lk(Ω ) (k> 1 ) norm and conditions which ensure that blow-up cannot occur.

Anahtar Kelimeler

Blow-up timeGradient nonlinearityLower boundsNonblow-upNonlinear parabolic problem
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/13473Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s41808-022-00147-yYayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
0
WoS
0
OpenAlex
0
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAyazoglu Mashiyev, Rabil
dc.contributor.authorEkincioglu, Ismail
dc.date.accessioned2026-10-29T19:11:01.081939996Z
dc.date.available2026-10-29T19:11:01.081939996Z
dc.date.issued2022
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 Lk(Ω ) (k> 1 ) norm and conditions which ensure that blow-up cannot occur.
dc.description.sponsorshipCooperation Program 2532 TUBITAK-RFBR
dc.description.sponsorshipRussian Foundation for Basic Research, РФФИ, (119N455)
dc.description.sponsorshipRussian Foundation for Basic Research, РФФИ
dc.identifier.doi10.1007/s41808-022-00147-y
dc.identifier.eissn2296-9039
dc.identifier.endpage207
dc.identifier.issn2296-9020
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85124046874
dc.identifier.startpage197
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13473
dc.identifier.volume8
dc.identifier.wosWOS:000749388500001
dc.language.isoen
dc.publisherBirkhauser
dc.relation.ispartofJournal of Elliptic and Parabolic Equations
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBlow-up time
dc.subjectGradient nonlinearity
dc.subjectLower bounds
dc.subjectNonblow-up
dc.subjectNonlinear parabolic problem
dc.subject.classificationMathematics
dc.subject.otherEQUATIONS
dc.titleLower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity
dc.typeArticle
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusclosed
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)