arXiv math/04070672004-07-05math.DGmath.AP

Generic singularities of minimax solutions to Hamilton--Jacobi equations

Gianmarco Capitanio

备注：: To appear in Journal of Geometry and Physics
DOI：: 10.1016/j.geomphys.2004.04.006

英文摘要：

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.

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