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math.AP2020
Equivalence of solutions of eikonal equation in metric spaces
Qing Liu, Nageswari Shanmugalingam, Xiaodan Zhou
In this paper we prove the equivalence between some known notions of solutions to the eikonal equation and more general analogs of the Hamilton-Jacobi equations in complete and rec…
math.GT2020
Maps on the Morse boundary
Qing Liu
For a proper geodesic metric space , the Morse boundary focuses on the hyperbolic-like directions in the space . It is a quasi-isometry invariant. That is, a qu…