Convergence of the Allen-Cahn equation with Neumann boundary conditions

Published 22 Mar 2014 in math.AP and math.DG | (1403.5624v5)

Abstract: We study a singular limit problem of the Allen-Cahn equation with Neumann boundary conditions and general initial data of uniformly bounded energy. We prove that the time-parametrized family of limit energy measures is Brakke's mean curvature flow with a generalized right angle condition on the boundary.

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