220 citations · 1.5k across the 94 of their papers we have counts for
8 papers · 1 filter
Carleman estimate for linear viscoelasticity equations and an inverse source problem
Oleg Imanuvilov, Masahiro Yamamoto
We consider the linear system of viscoelasticity with the homogeneous Dirichlet boundary condition. First we prove a Carleman estimate with boundary values of solutions of viscoela…
Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction
Jie Yu, Yikan Liu, Masahiro Yamamoto
In this article, we investigate the determination of the spatial component in the time-dependent second order coefficient of a hyperbolic equation from both theoretical and numeric…
Carleman estimates for the time-fractional advection-diffusion equations and applications
Zhiyuan Li, Xinchi Huang, Masahiro Yamamoto
In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the firs…
Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients
Adam Kubica, Masahiro Yamamoto
We discuss an initial-boundary value problem for a fractional diffusion equation with Caputo time-fractional derivative where the coefficients are dependent on spatial and time var…
On the maximum principle for a time-fractional diffusion equation
Yuri Luchko, Masahiro Yamamoto
In this paper, we discuss the maximum principle for a time-fractional diffusion equation $$ \partial_t^αu(x,t) = \sum_{i,j=1}^n \partial_i(a_{ij}(x)\partial_j u(x,t)) + c(x)u(x,t)…
Logarithmic stability of parabolic Cauchy problems
Mourad Choulli, Masahiro Yamamoto
The uniqueness of parabolic Cauchy problems is nowadays a classical problem and since Hadamard \cite{Ha} these kind of problems are known to be ill-posed and even severely ill-pose…