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math.OC2022
Partial Lipschitz regularity of the minimum time function for sub-Riemannian control systems
Paolo Albano, Vincenzo Basco, Piermarco Cannarsa
In Euclidean space of dimension 2 or 3, we study a minimum time problem associated with a system of real-analytic vector fields satisfying Hörmander's bracket generating condition,…
math.OC2021
The distance function in the presence of an obstacle
Paolo Albano, Vincenzo Basco, Piermarco Cannarsa
We study the Riemannian distance function from a fixed point (a point-wise target) of Euclidean space in the presence of a compact obstacle bounded by a smooth hypersurface. First,…
math.OC2018
Partial regularity for solutions to subelliptic eikonal equations
Paolo Albano, Piermarco Cannarsa, Teresa Scarinci
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, whi…