English

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

Optimization and Control 2025-04-10 v2 Analysis of PDEs

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 Cloc1,1C^{1,1}_{loc} solutions to first order Hamilton--Jacobi--Bellman equations.

Keywords

Cite

@article{arxiv.2403.05412,
  title  = {On classical solutions and canonical transformations for Hamilton--Jacobi--Bellman equations},
  author = {Mohit Bansil and Alpár R. Mészáros},
  journal= {arXiv preprint arXiv:2403.05412},
  year   = {2025}
}

Comments

10 pages; to appear in Bull. Lond. Math. Soc

R2 v1 2026-06-28T15:13:45.654Z