Study of the stability to an anisotropic reaction-diffusion equation

被引：0
|
作者：
Zhan, Huashui [1 ]
机构：
[1] Xiamen Univ Technol, Sch Math & Stat, Xiamen 361024, Fujian, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 06期
关键词：
Anisotropic reaction-diffusion equation; Stability; Partial boundary value condition; Entropy solution; BOUNDARY-VALUE-PROBLEM; DEGENERATE PARABOLIC EQUATIONS; DIRICHLET PROBLEMS; ENTROPY SOLUTIONS; UNIQUENESS; EXISTENCE;
D O I：
10.1007/s00033-023-02072-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability of solutions to an anisotropic reaction-diffusion equation is considered in this paper. Since the equation generally is with hyperbolic-parabolic mixed type and the Dirichlet boundary value condition may be overdetermined, how to impose a suitably partial boundary value condition has been a valuable problem for a long time. A new partial boundary value condition is given. Based on this new partial boundary value condition, the stability of weak solutions is established.
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页数：15
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