{"title":"带记忆方程的反问题","authors":"Alexandre L. Bukhge ˘ Im, G. Dyatlov","doi":"10.1201/9780429187841-2","DOIUrl":null,"url":null,"abstract":"We give an overview of some recent results obtained by the authors together with V. M. Isakov and N. I. Kalinina for the problems of memory reconstruction. Most of the results concern the case in which the memory depends on all space variables. We prove some uniqueness and stability theorems.","PeriodicalId":441146,"journal":{"name":"Inverse problems and related topics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Inverse Problems for Equations With Memory\",\"authors\":\"Alexandre L. Bukhge ˘ Im, G. Dyatlov\",\"doi\":\"10.1201/9780429187841-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an overview of some recent results obtained by the authors together with V. M. Isakov and N. I. Kalinina for the problems of memory reconstruction. Most of the results concern the case in which the memory depends on all space variables. We prove some uniqueness and stability theorems.\",\"PeriodicalId\":441146,\"journal\":{\"name\":\"Inverse problems and related topics\",\"volume\":\"77 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Inverse problems and related topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9780429187841-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Inverse problems and related topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9780429187841-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
摘要
本文综述了作者与V. M. Isakov和N. I. Kalinina在记忆重建问题上取得的一些最新成果。大多数结果都与内存依赖于所有空间变量的情况有关。我们证明了一些唯一性和稳定性定理。
We give an overview of some recent results obtained by the authors together with V. M. Isakov and N. I. Kalinina for the problems of memory reconstruction. Most of the results concern the case in which the memory depends on all space variables. We prove some uniqueness and stability theorems.
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