Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
Analysis of PDEs
2019-02-19 v5 Dynamical Systems
Abstract
We develop an approach for the analysis of fundamental solutions to Hamilton-Jacobi equations of contact type based on a generalized variational principle proposed by Gustav Herglotz. We also give a quantitative Lipschitz estimate on the associated minimizers.
Keywords
Cite
@article{arxiv.1804.03411,
title = {Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations},
author = {Piermarco Cannarsa and Wei Cheng and Kaizhi Wang and Jun Yan},
journal= {arXiv preprint arXiv:1804.03411},
year = {2019}
}