Holder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set

被引：0
作者：
Rassas, Imen [1 ]
机构：
[1] Univ Tunis El Manar, Natl Engn Sch Tunis, Lab Modelisat Math & Numer Sci Ingenieur LAMSIN, Tunis 1002, Tunisia
来源：
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2024年 / 32卷 / 02期
关键词：
Inverse problem; parabolic equation; time-dependent coefficients; stability estimates; Cauchy data; INVERSE PROBLEM; PARABOLIC EQUATION; DIRICHLET; IDENTIFICATION;
D O I：
10.1515/jiip-2021-0013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we address stability results in determining the time-dependent scalar and vector potentials appearing in the convection-diffusion equation from the knowledge of the Cauchy data set. We prove Holder-type stability estimates. The key tool used in this work is the geometric optics solution.
引用
收藏
页码：183 / 198
页数：16
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