Existence and stability of a one-dimensional heat equation with logarithmic nonlinearity

被引：0
|
作者：
Sun, Cong [1 ]
Jiang, Yan Zhuo [1 ]
机构：
[1] Jilin Univ Finance & Econ, Coll Appl Math, Changchun 130117, Jilin, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2025年 / 2025卷 / 01期
关键词：
Heat equation; Global solution; Exponential stability; Exponential decay to zero; BLOW-UP;
D O I：
10.1186/s13660-025-03269-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the existence and stability of the solution for a class heat equation with logarithmic nonlinearity. Using the potential well method, we proved the existence of global solutions. Moreover, exponential stability and the rapid stabilization of solutions are obtained by energy and backstepping methods.
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页数：14
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