Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient

被引：0
|
作者：
Mdimagh, Ridha [1 ,3 ]
Jday, Fadhel [2 ,3 ]
机构：
[1] Univ Jeddah, Coll Sci & Arts Khulis, Dept Math, Jeddah, Saudi Arabia
[2] Umm Al Qura Univ, Jamoum Univ Coll, Math Dept, Mecca, Saudi Arabia
[3] Univ Tunis El Manar, ENIT LAMSIN, El Manar, Tunisia
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 03期
关键词：
fractional diffusion equation; diffusion potential; Dirichlet-to-Neumann (DN) map; Holder-type stability; spectral decomposition;
D O I：
10.3934/math.2024260
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map the fractional diffusion equation with a reaction coefficient q. The main result provided a Holder-type stability estimate for the map, which was formulated in terms of the Dirichlet eigenvalues and normal derivatives of eigenfunctions of the operator A(q) := -Delta + q.
引用
收藏
页码：5394 / 5406
页数：13
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