activity
20062026
most citedReconstruction of inclusion from boundary measurements

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

collaborators
Showing 2019 · math.APShow all

6 papers · 2 filters

math.AP2019★ 3 cited

On uniqueness in the inverse obstacle problem via the positive supersolutions of the Helmholtz equation

Masaru Ikehata

This paper is concerned with an inverse obstacle scattering problem of an acoustic wave for a single incident plane wave and a wave number. The Colton-Sleeman theorem states the un…

math.AP2019★ 3 cited

The enclosure method for inverse obstacle scattering over a finite time interval: VI. Using shell type initial data

Masaru Ikehata

A simple idea of finding a domain that encloses an unknown discontinuity embedded in a body is introduced by considering an inverse boundary value problem for the heat equation. Th…

math.AP2019

Remarks on Lin-Nakamura-Wang's paper

Masaru Ikehata

Theorem 1.2 in their paper arXiv:1904.00999v1 [math.AP] 30 Mar 2019 "Reconstruction of unknown cavity by single measurement" is not valid.

math.AP2019★ 7 cited

On reconstruction from a partial knowledge of the Neumann-to-Dirichlet operator

Masaru Ikehata

We give formulae that yield an information about the location of an unknown polygonal inclusion having unknown constant conductivity inside a known conductive material having known…

math.AP2019★ 54 cited

On reconstruction in the inverse conductivity problem with one measurement

Masaru Ikehata

We consider an inverse problem for electrically conductive material occupying a domain in . Let be the conductivity of , and a subdomain of . We assume…

math.AP2019★ 4 cited

Extraction formulae for an inverse boundary value problem for the equation

Masaru Ikehata

We consider an inverse boundary value problem for the equation in a given bounded domain at a fixed . and denote the conductivity an…