On a bounded domain Ω in the Euclidean space Rn, we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies Hörmander's bracket generating condition. We prove that the solution is smooth in the complement of a closed set of Lebesgue measure zero.
Partial regularity for solutions to subelliptic eikonal equations
Scarinci T.
2018-01-01
Abstract
On a bounded domain Ω in the Euclidean space Rn, we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies Hörmander'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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