抛物方程中随时间变化的系数识别问题的稳定性估计

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-17 DOI:10.1016/j.jmaa.2024.129054

Nguyen Van Thang , Nguyen Van Duc

引用次数: 0

摘要

本文利用卡勒曼估计技术，为抛物方程中确定随时间变化的系数的逆问题建立了稳定性估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Stability estimate for a time-dependent coefficient identification problem in parabolic equations

This paper establishes stability estimates for an inverse problem of identifying a time-dependent coefficient in parabolic equations using the Carleman estimate technique.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.