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

被引：1

作者：

Butakin, Gulistan ^{[1
]}

Piskin, Erhan ^{[2
]}

Celik, Ercan ^{[3
,4
]}

机构：

[1] Dicle Univ, Inst Nat & Appl Sci, Diyarbakir, Turkiye

[2] Dicle Univ, Dept Math, Diyarbakir, Turkiye

[3] Kyrgyz Turkish Manas Univ, Dept Appl Math & Informat, Bishkek, Kyrgyzstan

[4] Ataturk Univ, Dept Math, Erzurum, Turkiye

来源：

JOURNAL OF FUNCTION SPACES | 2024年 / 2024卷 / 01期

关键词：

blowup; global existence; parabolic equation; variable exponent;

D O I：

10.1155/jofs/2847533

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：9

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