Spectral stability analysis of the Dirichlet-to-Neumann map for fractional diffusion equations with a reaction coefficient-Reference-Cited by-同舟云学术

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

Published:2024 Issue:3 Volume:9 Page:5394-5406
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mdimagh Ridha¹²,Jday Fadhel³²

Affiliation:

1. Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia

2. ENIT-LAMSIN, University of Tunis El Manar, Tunisia

3. Mathematics Department, Jamoum University College, Umm Al-Qura University, Saudi Arabia

Abstract

<abstract><p>This paper focused on the stability analysis of the Dirichlet-to-Neumann (DN) map for the fractional diffusion equation with a reaction coefficient $ q $. The main result provided a Hölder-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 $.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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