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math.AP2023
A direct probing method of an inverse problem for the Eikonal equation
Kazufumi Ito, Ying Liang
In this paper, we propose a direct probing method for the inverse problem based on the Eikonal equation. For the Eikonal equation with a point source, the viscosity solution repres…
math.AP2007
On Fluid mechanics formulation of Monge-Kantorovich Mass Transfer Problem
Kazufumi Ito
The Monge-Kantorovich mass transfer problem is equivalently formulated as a convex optimization problem for a potential function. In the light of this formulation an interative alg…