On a bounded domain Omega in the Euclidean space R-n, we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies Hormander's bracket generating condition. We prove that the solution is smooth in the complement of a closed set of Lebesgue measure zero. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Paolo Albano, P.C. (2018). Partial regularity for solutions to subelliptic eikonal equations. COMPTES RENDUS MATHÉMATIQUE, 356(2), 172-176 [10.1016/j.crma.2018.01.003].
Partial regularity for solutions to subelliptic eikonal equations
Paolo Albano;
2018
Abstract
On a bounded domain Omega in the Euclidean space R-n, we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies Hormander's bracket generating condition. We prove that the solution is smooth in the complement of a closed set of Lebesgue measure zero. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.File in questo prodotto:
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