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20062026
most citedReconstruction of inclusion from boundary measurements

63 citations · 640 across the 59 of their papers we have counts for

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Showing 2017 · math.APShow all

5 papers · 2 filters

math.AP2017★ 1 cited

Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case

Masaru Ikehata

The characterization problem of the existence of an unknown obstacle behind a known obstacle is considered by using a singe observed wave at a place where the wave is generated. Th…

math.AP2017★ 6 cited

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.…

math.AP2017★ 2 cited

On finding the surface admittance of an obstacle via the time domain enclosure method

Masaru Ikehata

An inverse obstacle scattering problem for the electromagnetic wave governed by the Maxwell system over a finite time interval is considered. It is assumed that the wave satisfies…

math.AP2017★ 10 cited

On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body

Masaru Ikehata

A mathematical formulation of an estimation problem of a cavity inside a three-dimensional thermoelastic body using time domain data is considered. The governing equation of the pr…

math.AP2017★ 59 cited

Reconstruction of a source domain from the Cauchy data

Masaru Ikehata

We consider an inverse source problem for the Helmholtz equation in a bounded domain. The problem is to reconstruct the shape of the support of a source term from the Cauchy data o…