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Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity

MakaleAçık ErişimScopus SJRQ3

Özet

In this paper, we consider an initial boundary value problem for a class of p(·)-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.

Anahtar Kelimeler

decay propertyextinctionglobal existencep(·)-Laplacianparabolicvariable exponents
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https://rdlopen.rawdatalibrary.net/r/bayburt/12954Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.15672/hujms.1106985Yayıncı resmi DOI adresi
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorAlisoy, Gulizar
dc.contributor.authorAkbulut, Sezgin
dc.contributor.authorAydin, Tuba Agirman
dc.date.accessioned2026-10-29T19:10:16.857702298Z
dc.date.available2026-10-29T19:10:16.857702298Z
dc.date.issued2024
dc.description.abstractIn this paper, we consider an initial boundary value problem for a class of p(·)-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.
dc.identifier.doi10.15672/hujms.1106985
dc.identifier.eissn2651-477X
dc.identifier.endpage381
dc.identifier.issn2651-477X
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85193015982
dc.identifier.startpage367
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/12954
dc.identifier.volume53
dc.identifier.wosWOS:001225022700005
dc.language.isoen
dc.publisherHacettepe University
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectdecay property
dc.subjectextinction
dc.subjectglobal existence
dc.subjectp(·)-Laplacian
dc.subjectparabolic
dc.subjectvariable exponents
dc.subject.classificationMathematics
dc.subject.classificationStatistics & Probability
dc.subject.otherBLOW-UP
dc.subject.otherVARIABLE EXPONENT
dc.subject.otherVARIATIONAL INEQUALITY
dc.subject.otherSPACES
dc.subject.otherINSTABILITY
dc.subject.otherCONVECTION
dc.subject.otherTHEOREMS
dc.titleExistence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity
dc.typeArticle
rdl.citation.openalex1
rdl.citation.scopus1
rdl.citation.trdizin0
rdl.citation.wos1
rdl.oa.statusgold
rdl.oa.urlhttps://dergipark.org.tr/en/download/article-file/2388536
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.source.indexTRDIZIN
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)