220 citations · 1.5k across the 94 of their papers we have counts for
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Global Lipschitz Stability in Determining Coefficients of the Radiative Transport Equation
Manabu Machida, Masahiro Yamamoto
In this article, for the radiative transport equation, we study inverse problems of determining a time independent scattering coefficient or total attenuation by boundary data on t…
Inverse boundary value problem for Schrödinger equation in cylindrical domain by partial boundary data
Oleg Yu Imanuvilov, Masahiro Yamamoto
Let be a bounded domain with and be a positive number. For a three dimensional cylindrical domain , we obtain some…
Inverse boundary value problem for linear Schrödinger equation in two dimensions
Oleg Yu. Imanuvilov, Masahiro Yamamoto
We relax the regularity condition on potentials of Schrödinger equations in the uniqueness results in \cite{EB} and \cite{IY2} for the inverse boundary value problem of determining…
Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data
Oleg Imanuvilov, Masahiro Yamamoto
For a semilinear elliptic equation, we prove uniqueness results in determining potentials and semilinear terms from partial Cauchy data on an arbitrary subboundary.
Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations
Oleg Imanuvilov, Masahiro Yamamoto
We consider an inverse problem of determining coefficient matrices in an -system of second-order elliptic equations in a bounded two dimensional domain by a set of Cauchy data o…