38 citations · 150 across the 19 of their papers we have counts for
18 papers
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…
Harmonic Measures and Numerical Computation of Cauchy Problems for Laplace Equations
Yu Chen, Jin Cheng, Shuai Lu +1
It is well known that Cauchy problem for Laplace equations is an ill-posed problem in Hadamard's sense. Small deviations in Cauchy data may lead to large errors in the solutions. I…
Stability for backward problems in time for degenerate parabolic equations
Piermarco Cannarsa, Masahiro Yamamoto
For solution to degenearte parabolic equations in a bounded domain with homogenous boundary condition, we consider backward problems in time: determine …
Uniqueness of solution to boundary value problems for time-fractional wave equations
Paola Loreti, Daniela Sforza, Masahiro Yamamoto
We consider an initial boundary value problem in a bounded domain over a time interval for a time-fractional wave equation where the order of the fractional time deriv…
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…