Characteristic curves for set-valued Hamilton-Jacobi equations
Analysis of PDEs
2022-01-05 v1 Optimization and Control
Abstract
The method of characteristics is extended to set-valued Hamilton-Jacobi equations. This problems arises from a calculus of variations' problem with a multicriteria Lagrangian function: through an embedding into a set-valued framework, a set-valued Hamilton-Jacobi equation is derived, where the Hamiltonian function is the Fenchel conjugate of the Lagrangian function. In this paper a method of characteristics is described and some results are given for the Fenchel conjugate.
Keywords
Cite
@article{arxiv.2201.01231,
title = {Characteristic curves for set-valued Hamilton-Jacobi equations},
author = {Daniela Visetti},
journal= {arXiv preprint arXiv:2201.01231},
year = {2022}
}