Jared Marx-Kuo

most citedA Dirichlet-to-Neumann Map for the Allen-Cahn Equation on Manifolds with Boundary

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math.DG2023

Geometric Variations of an Allen-Cahn Energy on Hypersurfaces

Jared Marx-Kuo, Érico Melo Silva

We introduce an Allen-Cahn type functional, $BE_{ε}$ , that defines an energy on separating hypersurfaces, $Y$ , of closed Riemannian Manifolds. We establish $Γ$ -convergence of…

math.DG2023★ 1 cited

A Dirichlet-to-Neumann Map for the Allen-Cahn Equation on Manifolds with Boundary

Jared Marx-Kuo

We study the asymptotic behavior of Dirichlet minimizers to the Allen--Cahn equation on manifolds with boundary, and we relate the Neumann data to the geometry of the boundary. We…