12 citations · 17 across the 7 of their papers we have counts for
7 papers
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…
Unique continuation for a mean field game system
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
For a mean field game system, we prove the unique continuation which asserts that if Cauchy data are zero on arbitrarily chosen lateral subboundary, then the solution identically v…
Lipschitz stability for determination of states and inverse source problem for the mean field game equations
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
We consider solutions satisfying the zero Neumann boundary condition and a linearized mean field game equation in whose principal coefficients depend on the time an…
Equivalence of two inverse boundary value problems for the Navier-Stokes equations
Oleg Imanuvilov, Masahiro Yamamoto
In this note, we prove that for the Navier-Stokes equations, a pair of Dirichlet and Neumann data and pressure uniquely correspond to a pair of Dirichlet data and surface stress on…
Calderón problem for Maxwell's equations in the wave guide
O. Yu. Imanuvilov, M. Yamamoto
For Maxwell's equations in a wave guide, we prove the global uniqueness in determination of the conductivity, the permeability and the permittivity by partial Dirichlet-to-Neumann…
Inverse Boundary Value Problem by Partial data for the Neumann-to-Dirichlet-map in two dimensions
O. Imanuvilov, G. Uhlmann, M. Yamamoto
For the two dimensional Schrödinger equation in a bounded domain, we prove uniqueness of determination of potentials in in the case where we apply all possible…