Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori

Liang Jin, Xiaojun Cui

On the Abelian cover $({\mathbb{R}}^2,g)$ of a class A Lorentzian 2-torus $({\mathbb{T}}^2,g)$, we showed the existence of global viscosity solutions to the eikonal equation $$ g(\…