4 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…