48 citations · 91 across the 8 of their papers we have counts for
8 papers
Asymptotic behavior of the indicator function in the inverse problem of the wave equation for media with multiple types of cavities
Mishio Kawashita, Wakako Kawashita
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 shortest lengths and the enclosure method for time dependent problems
Mishio Kawashita, Wakako Kawashita
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-lay…
A study on finding a buried obstacle in a layered medium having the influence of the total reflection phenomena via the time domain enclosure method
Masaru Ikehata, Mishio Kawashita, Wakako Kawashita
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 ge…
An inverse problem for a three-dimensional heat equation in bounded regions with several convex cavities
Mishio Kawashita
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…
On finding a buried obstacle in a layered medium via the time domain enclosure method
Masaru Ikehata, Mishio Kawashita
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.…
An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
Masaru Ikehata, Mishio Kawashita
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…
On reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval
Masaru Ikehata, Mishio Kawashita
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 appro…
The enclosure method for the heat equation
Masaru Ikehata, Mishio Kawashita
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.…