29 citations · 135 across the 36 of their papers we have counts for
6 papers · 1 filter
Homogenization and Inverse Problems for Fractional Diffusion Equations
Atsushi Kawamoto, Manabu Machida, Masahiro Yamamoto
We consider the homogenization for time-fractional diffusion equations in a periodic structure and we derive the homogenized time-fractional diffusion equation. Then we discuss the…
Global Lipschitz stability for inverse problems for radiative transport equations
Manabu Machida, Masahiro Yamamoto
We consider inverse problems of determining coefficients or time independent factors of source terms in radiative transport equations by means of Carleman estimate. We establish gl…
Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation
Atsushi Kawamoto, Manabu Machida
We consider inverse problems for the first and half order time fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient…
Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates
Atsushi Kawamoto, Manabu Machida
We consider a fractional radiative transport equation, where the time derivative is of half order in the Caputo sense. By establishing Carleman estimates, we prove the global Lipsc…
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…
Radiative Transport Equation for Bloch Electrons in Electromagnetic Fields
Manabu Machida
The radiative transport equation for the Schrödinger equation in a periodic potential with a weak random potential in electromagnetic fields is derived using asymptotic expansion.