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Tangential families and minimax solutions of Hamilton-Jacobi equations

Abstract : This Thesis is based on two different subjects, tangential families
and minimax solutions to Hamilton--Jacobi equations, which are related to several classical themes in Singularity Theory, as for instance Envelope Theory, Singularities of Caustics and Wave Fronts, Symplectic and Contact Geometry.
The first three chapters are devoted to the study of tangential families and to the classification of their stable and simple singularities, and to their interpretation in the frame of Contact Geometry.
The last chapter is devoted to the study of minimax solutions to Hamilton--Jacobi equations and the classification of their generic singularities of small codimension.
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Contributor : Gianmarco Capitanio <>
Submitted on : Thursday, March 3, 2005 - 8:01:26 PM
Last modification on : Wednesday, December 9, 2020 - 3:06:04 PM
Long-term archiving on: : Friday, April 2, 2010 - 9:38:43 PM


  • HAL Id : tel-00008669, version 1


Gianmarco Capitanio. Tangential families and minimax solutions of Hamilton-Jacobi equations. Mathematics [math]. Université Paris-Diderot - Paris VII, 2004. English. ⟨tel-00008669⟩



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