Hamilton-Jacobi equations in metric spaces
Analysis of PDEs
2023-12-27 v2
Abstract
These are lecture notes for our minicourse at OIST Summer Graduate School "Analysis and Partial Differential Equations" on June 12-17, 2023. We give an overview and collect a few important results concerning the well-posedness of Hamilton-Jacobi equations in metric spaces, especially several recently proposed notions of metric viscosity solutions to the eikonal equation. Basic knowledge about metric spaces and a review of viscosity solution theory in the Euclidean spaces are also presented.
Keywords
Cite
@article{arxiv.2308.08073,
title = {Hamilton-Jacobi equations in metric spaces},
author = {Qing Liu and Xiaodan Zhou},
journal= {arXiv preprint arXiv:2308.08073},
year = {2023}
}
Comments
We correct some typos and errors of the first version. arXiv admin note: text overlap with arXiv:2005.13405