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

页码：183 / 198

页数：16

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