70 citations · 264 across the 36 of their papers we have counts for
36 papers
Inverse coefficient problems for one-dimensional time-fractional diffusion equations
Oleg Imanuvilov, Kazufumi Ito, Masahiro Yamamoto
We prove the uniqueness in determining a spatially varying zeroth-order coefficient of a one-dimensional time-fractional diffusion equation by initial value and Cauchy data at one…
One-dimensional coefficient inverse problems by transformation operators
Oleg Imanuvilov, Masahiro Yamamoto
We prove the uniqueness for an inverse problem of determining a matrix coefficient of a system of evolution equations $σ\ppp_t u = \ppp_x^2 u(t,x) - P(x) u(t,x)$ for $0<x<\e…
Determination of source terms and coefficients dependent on spatial variable of parabolic and Schrödinger equations
Oleg Imanuvilov, Masahiro Yamamoto
We establish the uniqueness in the determination of a source term or a coefficient of the zeroth order term of a second-order parabolic equation. Moreover we consider the determina…
Lipschitz stability for determination of states and inverse source problem for the mean field game equations
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
In a bounded domain over time interval , we consider mean field game equations whose principal coefficients depend on the time and state variables wi…
Global Lipschitz stability for an inverse coefficient problem for a mean field game system
Oleg Imanuvilov, Masahiro Yamamoto
For an inverse coefficient problem of determining a state-varying factor in the corresponding Hamiltonian for a mean field game system, we prove the global Lipschitz stability by s…
Inverse parabolic problem with initial data by a single measurement
Oleg Y. Imanuvilov, M. Yamamoto
We consider initial boundary value problems with the homogeneous Neumann boundary condition. Given an initial value, we establish the uniqueness in determining a spatially varying…