BLOW-UP OF WEAK SOLUTIONS FOR A HIGHER-ORDER HEAT EQUATION WITH LOGARITHMIC NONLINEARITY

被引：0

作者：

Comert, Tugrul ^{[1
]}

Piskin, Erhan ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkiye

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 02期

关键词：

blow-up; heat equation; higher-order; logarithmic nonlinearity; nehari functional; weak solutions; PARABOLIC EQUATION; EXISTENCE;

D O I：

10.18514/MMN.2023.4014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deal with the initial boundary value problem for a higher-order heat equation with logarithmic source term ut + (-& UDelta;)mu -& UDelta;ut = uk-2u ln |u|. We obtain blow-up of weak solutions in the finite time, by employing potential well technique and concave technique. In addition, the upper bound of blow-up time is considered. This improves and extends some previous studies.

引用

页码：749 / 762

页数：14

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