220 citations · 1.5k across the 94 of their papers we have counts for
7 papers · 1 filter
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
Zhiyuan Li, Yikan Liu, Masahiro Yamamoto
In this paper, we investigate the well-posedness and the long-time asymptotic behavior for the initial-boundary value problem for multi-term time-fractional diffusion equations, wh…
Global uniqueness in inverse boundary value problems for Navier-Stokes equations and Lamé system in two dimensions
O. Yu. Imanuvilov, M. Yamamoto
We consider inverse boundary value problems for the Navier-Stokes equations and the isotropic Lamé system in two dimensions. The uniqueness without any smallness assumptions on unk…
Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type
Karine Beauchard, Piermarco Cannarsa, Masahiro Yamamoto
The approach to Lipschitz stability for uniformly parabolic equations introduced by Imanuvilov and Yamamoto in 1998, based on Carleman estimates, seems hard to apply to the case of…
Initial-boundary value problems for linear diffusion equation with multiple time-fractional derivatives
Zhiyuan Li, Masahiro Yamamoto
In this paper, we discuss initial-boundary value problems for linear diffusion equation with multiple time-fractional derivatives. By means of the Mittag-Leffler function and the e…
On the multiple hyperbolic systems modeling phase transformation kinetics
Yikan Liu, Masahiro Yamamoto
We discuss Cahn's time cone method modeling phase transformation kinetics. The model equation by the time cone method is an integral equation in the space-time region. First we red…
Carleman Estimate and Inverse Source Problem for Biot's Equations Describing Wave Propagation in Porous Media
Mourad Bellassoued, Masahiro Yamamoto
According to Biot's paper in 1956, by using the Lagrangian equations in classical mechanics, we consider a problem of the filtration of a liquid in porous elastic-deformation media…
Uniqueness for inverse boundary value problems by Dirichlet-to -Neumann map on subboundaries
Oleg Yu Imanuvilov, M. Yamamoto
We consider inverse boundary value problems for elliptic equations of second order of determining coefficients by Dirichlet-to-Neumann map on subboundaries, that is, the mapping fr…