<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-30T06:36:29Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/13501" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/13501</identifier><datestamp>2026-10-29T19:11:03Z</datestamp><setSpec>openaire</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>Extinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity</dc:title><dc:creator>Ayazoglu Mashiyev, Rabil</dc:creator><dc:creator>Akkoyunlu, Ebubekir</dc:creator><dc:subject>extinction</dc:subject><dc:subject>global existence</dc:subject><dc:subject>non-extinction</dc:subject><dc:subject>p(·)-Laplacian</dc:subject><dc:subject>Parabolic equation</dc:subject><dc:subject>parametric</dc:subject><dc:subject>variable exponent</dc:subject><dc:description>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 .</dc:description><dc:publisher>Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/13501</dc:identifier><dc:identifier>3005-8139</dc:identifier><dc:language>en</dc:language><dc:relation>Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13501</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>