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arXiv:math/0512018 [math.DS]AbstractReferencesReviewsResources

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

Patrick Bernard

Published 2005-12-01, updated 2014-06-04Version 4

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.

Journal: Annales Scientifiques de l'\'Ecole Normale Sup\'erieure 40, 3 (2007) 445-452
Categories: math.DS, math.AP
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