一类广义FitzHugh-Nagumo型系统的逆问题

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2023-10-22 DOI:10.1080/00036811.2023.2271950

Laure Cardoulis, Michel Cristofol

{"title":"一类广义FitzHugh-Nagumo型系统的逆问题","authors":"Laure Cardoulis, Michel Cristofol","doi":"10.1080/00036811.2023.2271950","DOIUrl":null,"url":null,"abstract":"AbstractIn this article we consider the inverse problem of simultaneously determining three coefficients of a FitzHugh–Nagumo type system defined in a bounded domain. We use a Carleman estimate to establish Hölder estimates for these coefficients by a finite number of measurements of only one component of the system.Keywords: Carleman estimatesinverse problemsstability resultPDE/ODE systemMathematic Subject classification: 35R30 Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":55507,"journal":{"name":"Applicable Analysis","volume":"27 2","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An inverse problem for a generalized FitzHugh–Nagumo type system\",\"authors\":\"Laure Cardoulis, Michel Cristofol\",\"doi\":\"10.1080/00036811.2023.2271950\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstractIn this article we consider the inverse problem of simultaneously determining three coefficients of a FitzHugh–Nagumo type system defined in a bounded domain. We use a Carleman estimate to establish Hölder estimates for these coefficients by a finite number of measurements of only one component of the system.Keywords: Carleman estimatesinverse problemsstability resultPDE/ODE systemMathematic Subject classification: 35R30 Disclosure statementNo potential conflict of interest was reported by the author(s).\",\"PeriodicalId\":55507,\"journal\":{\"name\":\"Applicable Analysis\",\"volume\":\"27 2\",\"pages\":\"0\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-10-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicable Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00036811.2023.2271950\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00036811.2023.2271950","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文考虑在有界域上定义的FitzHugh-Nagumo型系统的三个系数同时确定的逆问题。我们使用Carleman估计通过对系统的一个组件进行有限次测量来建立Hölder对这些系数的估计。关键词:Carleman估计反问题稳定性结果de /ODE系统数学主题分类:35R30披露声明作者未报告潜在利益冲突。

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

An inverse problem for a generalized FitzHugh–Nagumo type system

AbstractIn this article we consider the inverse problem of simultaneously determining three coefficients of a FitzHugh–Nagumo type system defined in a bounded domain. We use a Carleman estimate to establish Hölder estimates for these coefficients by a finite number of measurements of only one component of the system.Keywords: Carleman estimatesinverse problemsstability resultPDE/ODE systemMathematic Subject classification: 35R30 Disclosure statementNo potential conflict of interest was reported by the author(s).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.