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Extinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity

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Özet

In this paper, we study a class of p(·)-Laplace equation including nonstandard growth nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. We establish the conditions of non-extinction and extinction are studied of global weak solutions in finite time for any initial data u0 . Moreover, we show the global existence results for N ≥ 1 with constant p for any initial data u0 .

Anahtar Kelimeler

extinctionglobal existencenon-extinctionp(·)-LaplacianParabolic equationparametricvariable exponent
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AlanDeğerDil
dc.contributor.authorAyazoglu Mashiyev, Rabil
dc.contributor.authorAkkoyunlu, Ebubekir
dc.date.accessioned2026-10-29T19:11:03.678334015Z
dc.date.available2026-10-29T19:11:03.678334015Z
dc.date.issued2022
dc.description.abstractIn this paper, we study a class of p(·)-Laplace equation including nonstandard growth nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. We establish the conditions of non-extinction and extinction are studied of global weak solutions in finite time for any initial data u0 . Moreover, we show the global existence results for N ≥ 1 with constant p for any initial data u0 .
dc.identifier.endpage41
dc.identifier.issn3005-8139
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85131524357
dc.identifier.startpage26
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13501
dc.identifier.volume42
dc.language.isoen
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
dc.relation.ispartofTransactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectextinction
dc.subjectglobal existence
dc.subjectnon-extinction
dc.subjectp(·)-Laplacian
dc.subjectParabolic equation
dc.subjectparametric
dc.subjectvariable exponent
dc.titleExtinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity
dc.typeArticle
rdl.citation.scopus2
rdl.oa.statusclosed
rdl.source.indexSCOPUS