63 citations · 640 across the 59 of their papers we have counts for
5 papers · 2 filters
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…
A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain
Masaru Ikehata
An inverse problem for the wave equation outside an obstacle with a {\it dissipative boundary condition} is considered. The observed data are given by a single solution of the wave…
On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method
Masaru Ikehata
An inverse obstacle scattering problem for the wave governed by the Maxwell system in the time domain, in particular, over a finite time interval is considered. It is assumed that…
On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain
Masaru Ikehata
A mathematical method for through-wall imaging via wave phenomena in the time domain is introduced. The method makes use of a single reflected wave over a finite time interval and…
New Development of the Enclosure Method for Inverse Obstacle Scattering
Masaru Ikehata
The aim of this chapter is to make a review of the recent results using the Enclosure Method on inverse obstacle problems governed by the wave equation and the Maxwell system in ti…