220 citations · 1.5k across the 94 of their papers we have counts for
5 papers · 2 filters
Carleman estimate and unique continuation for a structured population model
Masaaki Uesaka, Masahiro Yamamoto
We consider a time-dependent structured population model equation and establish a Carleman estimate. We apply the Carleman estimate to prove the unique continuation which means tha…
Operator theoretic approach to the Caputo derivative and the fractional diffusion equations
Rudolf Gorenflo, Yuri Luchko, Masahiro Yamamoto
The Caputo time-derivative is usually defined pointwise for well-behaved functions, say, for continuously differentiable functions. Accordingly, in the theory of the partial fracti…
Inverse problem on a tree-shaped network
Lucie Baudouin, Masahiro Yamamoto
In this article, we prove a uniqueness result for a coefficient inverse problems regarding a wave, a heat or a Schrödinger equation set on a tree-shaped network, as well as the cor…
Uniqueness in inverse boundary value problems for fractional diffusion equations
Zhiyuan Li, O. Y. Imanuvilov, Masahiro Yamamoto
We consider an inverse boundary value problem for diffusion equations with multiple fractional time derivatives. We prove the uniqueness in determining a number of fractional time-…
Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
Zhiyuan Li, Masahiro Yamamoto
This article proves the uniqueness for two kinds of inverse problems of identifying fractional orders in diffusion equations with multiple time-fractional derivatives by pointwise…