Convergence of the Allen-cahn Equation with Neumann Boundary Conditions
نویسندگان
چکیده
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.
منابع مشابه
Erratum to "Convergence of the Allen-Cahn Equation with Neumann Boundary Conditions"
In this note we describe the results obtained by the paper (titled the same) which studies a singular limit problem of the Allen-Cahn equation with Neumann boundary conditions and general initial data of uniformly bounded energy. In it 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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