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

页码：5394 / 5406

页数：13

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