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math.AP2022
A convergence rate of the discrepancy for Allen-Cahn type equation
Kazuhiro Horihata
This paper presents a new partial differential equation to build Brakke's motion, which is a weak notion of mean curvature flow. We call the equation a modified Allen-Cahn equation…
math.AP2022
A partial boundary regularity and a regularity criterion for Harmonic Heat flow
Kazuhiro Horihata
In my previous paper I have contrived a Ginzburg-Landau heat flow with a time-dependent parameter and by using it, I constructed a harmonic heat flow into spheres with a monotonica…