{"title":"Approximate boundary controllability of wave equation with mixed boundary conditions and sound-speed reconstruction","authors":"L. Pestov, D. Strelnikov","doi":"10.1109/DD46733.2019.9016430","DOIUrl":null,"url":null,"abstract":"We consider acoustical tomography problem: to find a variable speed of sound in a bounded domain Ω by partial boundary measurements using the Boundary Control method. We use Neumann controls which are located at Σ × [0, T], where Σ is an open set of the boundary ∂Ω, T is a sufficiently large observation time. Boundary measurements are given at Σ × [0, 2T ]. The pressure at another part of the boundary is assumed to be zero.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"82 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD46733.2019.9016430","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
We consider acoustical tomography problem: to find a variable speed of sound in a bounded domain Ω by partial boundary measurements using the Boundary Control method. We use Neumann controls which are located at Σ × [0, T], where Σ is an open set of the boundary ∂Ω, T is a sufficiently large observation time. Boundary measurements are given at Σ × [0, 2T ]. The pressure at another part of the boundary is assumed to be zero.
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