Viscosity solution of Hamilton-Jacobi equation by a limiting minmax method
Analysis of PDEs
2015-06-15 v2 Dynamical Systems
Symplectic Geometry
Abstract
For non convex Hamiltonians, the viscosity solution and the more geometric minimax solution of the Hamilton-Jacobi equation do not coincide in general. They are nevertheless related: we show that iterating the minimax procedure during shorter and shorter time intervals one recovers the viscosity solution.
Cite
@article{arxiv.1303.3219,
title = {Viscosity solution of Hamilton-Jacobi equation by a limiting minmax method},
author = {Qiaoling Wei},
journal= {arXiv preprint arXiv:1303.3219},
year = {2015}
}
Comments
27 pages