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math.AP2023
Metric viscosity solutions and distance-like functions on the Wasserstein space
Huajian Jiang, Xiaojun Cui
Viscosity solutions to the eikonal equation |Du|g = 1, known to be exactly distance-like functions, on a non-compact complete Riemannian manifold (M,g) are crucial for understandin…
math.AP2023
Viscosity solutions to a Cauchy type problem for timelike Lorentzian eikonal equation
Siyao Zhu, Xiaojun Cui, Tianqi Shi
In this paper, we propose a Cauchy type problem to the timelike Lorentzian eikonal equation on a globally hyperbolic space-time. For this equation, as the value of the solution on…