Partial regularity for solutions to subelliptic eikonal equations
Optimization and Control
2018-01-10 v1 Analysis of PDEs
Abstract
On a bounded domain in euclidean space , we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies H\"ormander's bracket generating condition. We prove that the solution is smooth in the complement of a closed set of Lebesgue measure zero.
Cite
@article{arxiv.1801.02847,
title = {Partial regularity for solutions to subelliptic eikonal equations},
author = {Paolo Albano and Piermarco Cannarsa and Teresa Scarinci},
journal= {arXiv preprint arXiv:1801.02847},
year = {2018}
}