Compactness methods for Γ^1,α boundary Schauder estimates in Carnot groups

2018/04/18 by Agnid Banerjee, Nicola Garofalo, Banerjee, Agnid +3
Mathematics · #Geometric Analysis and Curvature Flows #Advanced Mathematical Physics Problems #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.1804.06697

Abstract

The aim of this paper is to prove Γ^1,α Schauder estimates near a C^1,α non-characteristic portion of the boundary for Γ^{0, α} perturbations of horizontal Laplaceans in Carnot groups. This situation of minimally smooth domains presents itself naturally in the study of subelliptic free boundary problems of obstacle type, see [15].

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