Viscosity solutions of Hamilton-Jacobi equations in proper \(\text{CAT(0)}\) spaces
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Publication:6143109
DOI10.1007/s12220-023-01484-7OpenAlexW4390048830MaRDI QIDQ6143109
Othmane Jerhaoui, Hasnaa Zidani
Publication date: 23 January 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-023-01484-7
Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Eikonal equations on the Sierpinski gasket
- On the micro-to-macro limit for first-order traffic flow models on networks
- Hamilton-Jacobi equations constrained on networks
- Eikonal equations on ramified spaces
- Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes
- (Almost) everything you always wanted to know about deterministic control problems in stratified domains
- Mean field games
- On the Hamilton-Jacobi-Bellmann equations in Banach spaces
- Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions
- Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions
- Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations
- Viscosity solutions for a class of Hamilton-Jacobi equations in Hilbert spaces
- Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms
- Hamilton-Jacobi equations in infinite dimensions. III
- Viscosity solutions of Hamilton-Jacobi equations
- Well-posedness for multi-dimensional junction problems with Kirchoff-type conditions
- Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms
- Optimal control of multiagent systems in the Wasserstein space
- Infinitesimal hilbertianity of locally \(\mathrm{CAT}(\kappa)\)-spaces
- Equivalence of solutions of eikonal equation in metric spaces
- Quasi-convex Hamilton-Jacobi equations posed on junctions: the multi-dimensional case
- On a class of first order Hamilton-Jacobi equations in metric spaces
- Multiscale modeling of pedestrian dynamics
- Hamilton-Jacobi equations for controlled gradient flows: the comparison principle
- Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures
- Convex analysis and optimization in Hadamard spaces
- On metric viscosity solutions for Hamilton-Jacobi equations of evolution type
- Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
- Functional Analysis, Calculus of Variations and Optimal Control
- Semiconcave functions in Alexandrov's geometry
- A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
- Infinite-Dimensional Hamilton–Jacobi Equations and Dirichlet Boundary Control Problems of Parabolic Type
- User’s guide to viscosity solutions of second order partial differential equations
- A.D. Alexandrov spaces with curvature bounded below
- The Master Equation and the Convergence Problem in Mean Field Games
- An Invitation to Alexandrov Geometry
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
- A Geometric study of Wasserstein spaces: Euclidean spaces
- Hamilton-Jacobi Equations on Networks as Limits of Singularly Perturbed Problems in Optimal Control: Dimension Reduction
- Eikonal equations in metric spaces
- A general comparison principle for Hamilton Jacobi Bellman equations on stratified domains
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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