M
Masahiro Yamamoto
Researcher at University of Tokyo
Publications - 252
Citations - 7041
Masahiro Yamamoto is an academic researcher from University of Tokyo. The author has contributed to research in topics: Inverse problem & Uniqueness. The author has an hindex of 42, co-authored 242 publications receiving 6096 citations. Previous affiliations of Masahiro Yamamoto include Peoples' Friendship University of Russia & Fudan University.
Papers
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Lipschitz stability in inverse parabolic problems by the Carleman estimate
TL;DR: In this paper, the Lipschitz stability of the inverse problem of determinations of g using overdetermining data was shown for a system with a suitable boundary condition, where is a bounded domain, is a uniformly elliptic operator of the second order whose coefficients are suitably regular for, is fixed and a function satisfies
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Global Lipschitz stability in an inverse hyperbolic problem by interior observations
TL;DR: In this article, the inverse problem of determining p(x), xΩ, from data u|ω×(0,T) was considered and an upper and lower estimate of Lipschitz type between p-q||L2(Ω) and ||∂t(u(p)-u(q) and L2(L2) was proved.
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A backward problem for the time-fractional diffusion equation
Jijun Liu,Masahiro Yamamoto +1 more
TL;DR: In this article, the authors considered a backward problem in time for a time-fractional partial differential equation in one-dimensional case, which describes the diffusion process in porous media related with the continuous time random walk problem.
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Global uniqueness and stability in determining coefficients of wave equations
TL;DR: In this article, the Lipschitz stability of determining p from u|∂Ω×(0,T) under the assumption that T is greater than the diameter of Ω and u(·,0) > 0 on.
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The Calderón problem with partial data in two dimensions
TL;DR: In this paper, it was shown that the Cauchy data for the Schrodinger equation measured on an arbitrary open subset of the boundary determines uniquely the potential, which is the case for the conductivity equation.