Generic singularities of minimax solutions to Hamilton-Jacobi equations

[摘要] 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. (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-12-01

[关键词] minimax solutions;Hamilton-Jacobi equations;wave fronts