Compactness methods for $\Gamma^{1,\alpha}$ boundary Schauder estimates in Carnot groups
Analysis of PDEs
2018-11-12 v2
Abstract
The aim of this paper is to prove Schauder estimates near a non-characteristic portion of the boundary for 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].
Cite
@article{arxiv.1804.06697,
title = {Compactness methods for $\Gamma^{1,\alpha}$ boundary Schauder estimates in Carnot groups},
author = {Agnid Banerjee and Nicola Garofalo and Isidro Munive},
journal= {arXiv preprint arXiv:1804.06697},
year = {2018}
}
Comments
revision of the previous version with a few updated references