Global Generalized Characteristics for the Dirichlet Problem for Hamilton--Jacobi Equations at a Supercritical Energy Level
From MaRDI portal
Publication:5241107
DOI10.1137/18M1203547zbMath1437.35154arXiv1803.01591OpenAlexW2982668430WikidataQ126867749 ScholiaQ126867749MaRDI QIDQ5241107
Wei Cheng, Piermarco Cannarsa, Marco Mazzola, Kaizhi Wang
Publication date: 30 October 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01591
Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Boundary value problems for nonlinear first-order PDEs (35F30) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Hamilton-Jacobi equations (35F21)
Related Items
Representation formulas for contact type Hamilton-Jacobi equations, Herglotz' variational principle and Lax-Oleinik evolution, Singularities of solutions of Hamilton-Jacobi equations, Local singular characteristics on \(\mathbb{R}^2\), Global propagation of singularities for discounted Hamilton-Jacobi equations
Cites Work
- Unnamed Item
- Unnamed Item
- Propagation of singularities for weak KAM solutions and barrier functions
- On the topology of the set of singularities of a solution to the Hamilton-Jacobi equation
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Singular dynamics for semiconcave functions
- Propagation of singularities for solutions of nonlinear first order partial differential equations
- Generalized characteristics and Lax-Oleinik operators: global theory
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
- Convexity properties of the minimum time function
- Singular gradient flow of the distance function and homotopy equivalence
- Viscosity solutions, ends and ideal boundaries
- Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
- Weak KAM theorem on non compact manifolds
- The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
- Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry
- Lagrangian flows: The dynamics of globally minimizing orbits
- Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians
- Methods of Geometric Analysis in Extension and Trace Problems
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Optimal control
- Action potential and weak KAM solutions
