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Generic singularities of minimax solutions to Hamilton--Jacobi equations

Gianmarco Capitanio
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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.

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Gianmarco Capitanio. 2004-07-05. Generic singularities of minimax solutions to Hamilton--Jacobi equations. https://doi.org/10.1016/j.geomphys.2004.04.006

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