2 papers
math.OC2022
Kinodynamic control systems and discontinuities in clearance
Niles Armstrong, Jory Denny, Jeremy LeCrone
We investigate the structure of discontinuities in clearance (or minimum time) functions for nonlinear control systems with general, closed obstacles (or targets). We establish gen…
math.AP2019
The surface diffusion and the Willmore flow for uniformly regular hypersurfaces
Jeremy LeCrone, Yuanzhen Shao, Gieri Simonett
We consider the surface diffusion and Willmore flows acting on a general class of (possibly non-compact) hypersurfaces parameterized over a uniformly regular reference manifold pos…