Calculus of Variations and Geometric Measure Theory

M. Bansil - A. R. Mészáros

On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations

created by mészáros on 11 Mar 2024
modified on 18 Apr 2025

[BibTeX]

Accepted Paper

Inserted: 11 mar 2024
Last Updated: 18 apr 2025

Journal: Bull. Lond. Math. Soc
Year: 2025

ArXiv: 2403.05412 PDF

Abstract:

In this note we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of $C^{1,1}_{loc}$ solutions to first order Hamilton--Jacobi--Bellman equations.