Metric Entropy for Hamilton--Jacobi Equations with Uniformly Directionally Convex Hamiltonian

DOI10.1137/22M1475430zbMath1498.49045arXiv2012.10577OpenAlexW4304193611MaRDI QIDQ5042371

Khai T. Nguyen, Stefano Bianchini, Prerona Dutta

Publication date: 19 October 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10577

zbMATH Keywords

Hamilton-Jacobi equationsKolmogorov entropysemiconcave functionsbounded total variationHopf-Lax semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Smoothness and regularity of solutions to PDEs (35B65) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Hamilton-Jacobi equations in optimal control and differential games (49L12)

Related Items (1)

A lower bound on the quantitative version of the transversality theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• On compactness estimates for hyperbolic systems of conservation laws
• Covering numbers for bounded variation functions
• Compactness estimates for Hamilton-Jacobi equations depending on space
• A quantitative compactness estimate for scalar conservation laws
• Viscosity Solutions of Hamilton-Jacobi Equations
• An optimal Poincaré inequality in $L^1$ for convex domains
• Metric Entropy for Functions of Bounded Total Generalized Variation
• On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity
• Quantitative compactness estimates for Hamilton-Jacobi equations

This page was built for publication: Metric Entropy for Hamilton--Jacobi Equations with Uniformly Directionally Convex Hamiltonian