40 citations · 125 across the 11 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…
Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates
X. Huang, A. Kawamoto
We consider a half-order time-fractional diffusion equation in an arbitrary dimension and investigate inverse problems of determining the source term or the diffusion coefficient f…
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…
An inverse problem and a time-like Carleman estimate for parabolic integro-differential equations
Atsushi Kawamoto
In this article, We investigate an inverse problem of determining the time-dependent source factor in parabolic integro-differential equations from boundary data. We establish the…
Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation
Atsushi Kawamoto
We consider the first and half order time fractional equation with the zero initial condition. We investigate an inverse source problem of determining the time-independent source f…
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…