Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds

Patrick Bernard (CEREMADE)

arxiv: math/0512018 · v4 · pith:UFO76LIZnew · submitted 2005-12-01 · 🧮 math.DS · math.AP

Existence of C^(1,1) critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds

Patrick Bernard (CEREMADE) This is my paper

classification 🧮 math.DS math.AP

keywords criticalequationexistencehamilton-jacobiversioncompactconsolidatedcorrected

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We prove the existence of a critical subsolution of the Hamilton-Jacobi equation which is differentiable with Lipschitz differential, improving a previous result of Fathi and Siconolfi. This text is a consolidated version with a minor mistake corrected from the published version.

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Existence of C^(1,1) critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds

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