2 citations · 3 across the 7 of their papers we have counts for
7 papers
Analysis of a class of recursive distributional equations including the resistance of the series-parallel graph
Peter S. Morfe
This paper analyzes a class of recursive distributional equations (RDE's) proposed by Gurel-Gurevich [17] and involving a bias parameter , which includes the logarithm of the re…
Comparison Principles for the Finsler Infinity Laplacian with Applications to Minimal Lipschitz Extensions
Peter S. Morfe
This paper proves comparison principles for elliptic PDE involving the Finsler infinity Laplacian, a second-order differential operator with discontinuities in the gradient variabl…
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…
The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media
William M Feldman, Peter S Morfe
We construct several examples related to the scaling limits of energy minimizers and gradient flows of surface energy functionals in heterogeneous media. These include both sharp a…
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…
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…
A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit
Peter Morfe
This paper investigates the connection between the effective, large scale behavior of Allen-Cahn energy functionals in periodic media and the sharp interface limit of the associate…