A local parabolic monotonicity formula on Riemannian manifolds

2009/06/08 by Eduardo V. Teixeira, Lei Zhang, Teixeira, Eduardo. V. +1
Mathematics · #35K10 #35R35 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.0906.1483

openalex publication_date 2009/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we establish a local parabolic almost monotonicity formula for two phase free boundary problems on Riemannian manifolds, which is an extension of a work of Edquist-Petrosyan.

Citations

• Some New Monotonicity Theorems with Applications to Free Boundary Problems
• Variational problems with two phases and their free boundaries

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• Some New Monotonicity Theorems with Applications to Free Boundary Problems
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• A monotonicity formula for a classical free boundary problem