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math.DG2026
Lipschitz continuity of the cut time for globally hyperbolic spacetimes
Alec Metsch
We prove that, for a fixed point in a globally hyperbolic spacetime, the focalization time is locally Lipschitz continuous on the open subset of the future causal cone where it is…
math.OC2026
A Lorentzian Lasry-Lions regularization theorem
Alec Metsch
The main goal of this paper is to establish a general Lorentzian Lasry-Lions regularization theorem: let be a function defined on a globally hyperbolic spacetime. Assume that i…