Generic singularities of minimax solutions to Hamilton--Jacobi equations
Differential Geometry
2009-11-10 v1 Analysis of PDEs
Abstract
Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions. We give a complete description of minimax solutions and we classify their generic singularities of codimension not greater than 2.
Keywords
Cite
@article{arxiv.math/0407067,
title = {Generic singularities of minimax solutions to Hamilton--Jacobi equations},
author = {Gianmarco Capitanio},
journal= {arXiv preprint arXiv:math/0407067},
year = {2009}
}
Comments
To appear in Journal of Geometry and Physics