Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity

In this work, we deal with a fourth-order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.

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Main Authors: Gülistan Butakın, Erhan Pişkin, Ercan Çelik
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/jofs/2847533
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author Gülistan Butakın
Erhan Pişkin
Ercan Çelik
author_facet Gülistan Butakın
Erhan Pişkin
Ercan Çelik
author_sort Gülistan Butakın
collection DOAJ
description In this work, we deal with a fourth-order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.
format Article
id doaj-art-eb37e73c98f44285a7e521111a040253
institution OA Journals
issn 2314-8888
language English
publishDate 2024-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-eb37e73c98f44285a7e521111a0402532025-08-20T02:35:32ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/jofs/2847533Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic NonlinearityGülistan Butakın0Erhan Pişkin1Ercan Çelik2Institute of Natural and Applied SciencesDepartment of MathematicsDepartment of Applied Mathematics and InformaticsIn this work, we deal with a fourth-order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.http://dx.doi.org/10.1155/jofs/2847533
spellingShingle Gülistan Butakın
Erhan Pişkin
Ercan Çelik
Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
Journal of Function Spaces
title Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
title_full Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
title_fullStr Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
title_full_unstemmed Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
title_short Blowup and Global Solutions of a Fourth-Order Parabolic Equation With Variable Exponent Logarithmic Nonlinearity
title_sort blowup and global solutions of a fourth order parabolic equation with variable exponent logarithmic nonlinearity
url http://dx.doi.org/10.1155/jofs/2847533
work_keys_str_mv AT gulistanbutakın blowupandglobalsolutionsofafourthorderparabolicequationwithvariableexponentlogarithmicnonlinearity
AT erhanpiskin blowupandglobalsolutionsofafourthorderparabolicequationwithvariableexponentlogarithmicnonlinearity
AT ercancelik blowupandglobalsolutionsofafourthorderparabolicequationwithvariableexponentlogarithmicnonlinearity