K. Motegi

collaborators

2 papers

math.AP2026

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities

Kotaro Motegi

We prove the existence of a genuinely time-dependent Brakke flow starting from $Γ_{0} \subset R^{n + 1}$ whose associated multiplicity-one varifold is stationary, provided tha…

math.AP2025

$L^{2}$ normal velocity implies strong solution for graphical Brakke flows

Kotaro Motegi

We prove that if a one-parameter family of varifolds has an $L^{2}$ normal velocity $v$ in the sense of Brakke, and if the family is represented as the graph of a continuous function…

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities

L2 normal velocity implies strong solution for graphical Brakke flows

$L^{2}$ normal velocity implies strong solution for graphical Brakke flows