Viscosity solutions to a Cauchy type problem for timelike Lorentzian eikonal equation
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Publication:6619663
DOI10.1063/5.0178336zbMATH Open1548.35253MaRDI QIDQ6619663
Siyao Zhu, Xiaojun Cui, Tianqi Shi
Publication date: 16 October 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
PDEs in connection with relativity and gravitational theory (35Q75) Viscosity solutions to PDEs (35D40)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Singular dynamics for semiconcave functions
- Action minimizing invariant measures for positive definite Lagrangian systems
- Variational construction of connecting orbits
- Generalized characteristics and Lax-Oleinik operators: global theory
- Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori
- Lyapounov functions of closed cone fields: from Conley theory to time functions
- Aubry-Mather theory for Lorentzian manifolds
- Viscosity solutions, ends and ideal boundaries
- Weak KAM from a PDE point of view: viscosity solutions of the Hamilton-Jacobi equation and Aubry set
- The negative of regular cosmological time function is a viscosity solution
- Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- On the minimizing measures of Lagrangian dynamical systems
- GENERALIZED SOLUTIONS OF THE HAMILTON-JACOBI EQUATIONS OF EIKONAL TYPE. I. FORMULATION OF THE PROBLEMS; EXISTENCE, UNIQUENESS AND STABILITY THEOREMS; SOME PROPERTIES OF THE SOLUTIONS
- General relativity and cosmology
- Orbites hétéroclines et ensemble de Peierls
- The cosmological time function
- Sur la convergence du semi-groupe de Lax-Oleinik
- Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
- Solutions KAM faibles conjuguées et barrières de Peierls
- Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds
- Global Generalized Characteristics for the Dirichlet Problem for Hamilton--Jacobi Equations at a Supercritical Energy Level
- The continuous dependence of generalized solutions of non‐linear partial differential equations upon initial data
- Optimal Transport
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