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.
Partial regularity for solutions to subelliptic eikonal equations / Paolo Albano, Piermarco Cannarsa, Teresa Scarinci. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - STAMPA. - 356:2(2018), pp. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
