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math.AP2020
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…
math.AP2018★ 1 cited
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…
math.AP2017
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…