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pro vyhledávání: '"Kawashita, Mishio"'
Autor:
Kawashita, Mishio, Kawashita, Wakako
In this paper, the inverse problem of the wave equation by the enclosure method for a medium with multiple types of cavities is discussed. In the case considered here, the sign of the indicator function of the enclosure method is not determined and s
Externí odkaz:
http://arxiv.org/abs/2402.13012
Autor:
Kawashita, Mishio, Kawashita, Wakako
In this paper, we discuss the role of the shortest distance in time-dependent enclosure method for the inverse problems when the inclusions are embedded in a non-layered or two-layered medium. Furthermore, the regularity assumptions for the boundarie
Externí odkaz:
http://arxiv.org/abs/2310.11720
Akademický článek
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An inverse obstacle problem for the wave governed by the wave equation in a two layered medium is considered under the framework of the time domain enclosure method. The wave is generated by an initial data supported on a closed ball in the upper hal
Externí odkaz:
http://arxiv.org/abs/1807.02318
Autor:
Kawashita, Mishio
In this paper, an inverse initial-boundary value problem for the heat equation in three dimensions is studied. Assume that a three-dimensional heat conductive body contains several cavities of strictly convex. In the outside boundary of this body, a
Externí odkaz:
http://arxiv.org/abs/1709.00165
Autor:
Ikehata, Masaru, Kawashita, Mishio
Publikováno v:
Inverse Problems and Imaging, Volume 12, No.5, 2018, 1173-1198
An inverse obstacle problem for the wave equation in a two layered medium is considered. It is assumed that the unknown obstacle is penetrable and embedded in the lower half-space. The wave as a solution of the wave equation is generated by an initia
Externí odkaz:
http://arxiv.org/abs/1706.07543
An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
Autor:
Ikehata, Masaru, Kawashita, Mishio
Publikováno v:
Inverse Problems and Imaging, Volume 8(2014), 1073-1116
This paper studies a prototype of inverse initial boundary value problems whose governing equation is the heat equation in three dimensions. An unknown discontinuity embedded in a three-dimensional heat conductive body is considered. A {\it single} s
Externí odkaz:
http://arxiv.org/abs/1512.00518
Autor:
Ikehata, Masaru, Kawashita, Mishio
Publikováno v:
Inverse Problems 26 (2010) 095004
The enclosure method was originally introduced for inverse problems of concerning non-destructive evaluation governed by elliptic equations. It was developed as one of useful approaches in inverse problems and applied for various equations. In this p
Externí odkaz:
http://arxiv.org/abs/1003.0947
Autor:
Ikehata, Masaru, Kawashita, Mishio
Publikováno v:
Inverse Problems 25(2009) 075005(10pp)
This paper shows how the enclosure method which was originally introduced for elliptic equations can be applied to inverse initial boundary value problems for parabolic equations. For the purpose a prototype of inverse initial boundary value problems
Externí odkaz:
http://arxiv.org/abs/0901.2754
Autor:
Kawashita, Mishio, Kawashita, Wakako
Publikováno v:
数理解析研究所講究録. 2195:42-63