220 citations · 1.5k across the 94 of their papers we have counts for
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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…
Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. Part I: Linear equations
Yuri Luchko, Masahiro Yamamoto
The main objective of this paper is analysis of the initial-boundary value problems for the linear time-fractional diffusion equations with a uniformly elliptic spatial differentia…
Stability in determination of states for the mean field game equations
Hongyu Liu, Masahiro Yamamoto
We consider solutions satisfying the Neumann zero boundary condition and a linearized mean field game system in , where is a bounded domain in and…
Blowup in -norm and global existence for time-fractional diffusion equations with polynomial semilinear terms
Giuseppe Floridia, Yikan Liu, Masahiro Yamamoto
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity in a bounded domain with the homogeneous Neumann boundary condi…
Determination of a source term in Schrödinger equation with a data taken at final moment of observation
O. Y. Imanuvilov, M. Yamamoto
We establish the Lipshitz stability estimate in inverse problem of determination of a source term or zero order term in the Schrödinger equation with time-dependent coefficients un…
Sharp uniqueness and stability of solution for an inverse source problem for the Schrödinger equation
Oleg Imanuvilov, M. Yamamoto
The manuscript is concerned with uniqueness and stability for inverse source problem of determining spatially varying factor of a source term given by with suitab…