Generic singularities of minimax solutions to Hamilton--Jacobi equations
arXiv:math/0407067 · doi:10.1016/j.geomphys.2004.04.006
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.
To appear in Journal of Geometry and Physics