Hölder从柯西数据集确定热方程的时间相关系数的稳定性估计

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Inverse and Ill-Posed Problems Pub Date : 2023-08-01 DOI:10.1515/jiip-2021-0013

Imen Rassas

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引用次数: 0

摘要

摘要在本文中，我们从柯西数据集的知识出发，讨论了确定对流扩散方程中出现的含时标量势和矢量势的稳定性结果。我们证明了Hölder型稳定性估计。在这项工作中使用的关键工具是几何光学解决方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

Abstract 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 Hölder-type stability estimates. The key tool used in this work is the geometric optics solution.

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来源期刊

Journal of Inverse and Ill-Posed Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： This journal aims to present original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published. Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest. The following topics are covered: Inverse problems existence and uniqueness theorems stability estimates optimization and identification problems numerical methods Ill-posed problems regularization theory operator equations integral geometry Applications inverse problems in geophysics, electrodynamics and acoustics inverse problems in ecology inverse and ill-posed problems in medicine mathematical problems of tomography