most citedComparison Principles for Second Order Elliptic/Parabolic Equations with Discontinuities in the Gradient Compatible with Finsler Norms

1 citations · 1 across the 2 of their papers we have counts for

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3 papers

math.AP2021★ 1 cited

Comparison Principles for Second Order Elliptic/Parabolic Equations with Discontinuities in the Gradient Compatible with Finsler Norms

Peter S. Morfe, Panagiotis E. Souganidis

This paper is about elliptic and parabolic partial differential operators with discontinuities in the gradient which are compatible with a Finsler norm in a sense to be made precis…

math.AP2020

Homogenization of the Allen-Cahn equation with periodic mobility

Peter S. Morfe

We analyze the sharp interface limit for the Allen-Cahn equation with an anisotropic, spatially periodic mobility coefficient and prove that the large-scale behavior of interfaces…

math.AP2020

On the homogenization of second order level set PDE in periodic media

Peter S. Morfe

This paper analyzes two classes of second order level set PDE in periodic media in the parabolic scaling. First, we study fully nonlinear geometric operators under general assumpti…