On a bounded domain $\Omega$ in euclidean space $\mathbbR^n$, 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.
Albano, P., Cannarsa, P., Scarinci, T. (2018). Partial regularity for solutions to subelliptic eikonal equations. COMPTES RENDUS MATHÉMATIQUE, 356(2), 172-176.
Partial regularity for solutions to subelliptic eikonal equations
Piermarco Cannarsa
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2018-01-01
Abstract
On a bounded domain $\Omega$ in euclidean space $\mathbbR^n$, 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.File in questo prodotto:
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