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

DOI10.1007/s10711-017-0261-xzbMath1391.35102arXiv1611.05996OpenAlexW2963925998MaRDI QIDQ1742469

Liang Jin, Xiaojun Cui

Publication date: 11 April 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05996

zbMATH Keywords

class A 2-toriLorentzian eikonal equations

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (5)

Busemann functions on the Wasserstein space ⋮ On class A Lorentzian 2-tori with poles. II. Foliations by timelike lines ⋮ Aubry-Mather theory for Lorentzian manifolds ⋮ Optimal results in Lorentzian Aubry-Mather theory ⋮ On class A Lorentzian 2-tori with poles. I: Closed geodesics pass through poles

Cites Work

• Minimal measures
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Class A spacetimes
• Comparison and rigidity theorems in semi-Riemannian geometry
• Geodesic rays, Busemann functions and monotone twist maps
• Aubry-Mather theory for Lorentzian manifolds
• Weak KAM theorem on non compact manifolds
• The negative of regular cosmological time function is a viscosity solution
• The cosmological time function
• A Strong Maximum Principle for Weak Solutions of Quasi-Linear Elliptic Equations with Applications to Lorentzian and Riemannian Geometry
• Regularity of Lorentzian Busemann Functions
• Closed geodesics in Lorentzian surfaces
• Optimal Transport
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