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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Bibliographic Details
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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Summary: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.
ISSN:2314-8888