{"title":"A note on identifiability for inverse problem based on observations","authors":"Marian Petrica, Ionel Popescu","doi":"arxiv-2408.14616","DOIUrl":null,"url":null,"abstract":"In this paper we cover a few topics on how to treat inverse problems. There\nare two different flows of ideas. One approach is based on Morse Lemma. The\nother is based on analyticity which proves that the number of solutions to the\ninverse problems is generically isolated for some particular class of dynamical\nsystems.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14616","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we cover a few topics on how to treat inverse problems. There
are two different flows of ideas. One approach is based on Morse Lemma. The
other is based on analyticity which proves that the number of solutions to the
inverse problems is generically isolated for some particular class of dynamical
systems.
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