The multidirectional mean value inequalities with second order information

Mohammed Bachir 1
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : We give a multidirectional mean value inequality with second order information. This result extends the classical Clarke-Ledyaev's inequality to the second order. As application, we give the uniqueness of viscosity solution of second order Hamilton-Jacobi equations in finite dimensions.
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Submitted on : Thursday, August 6, 2015 - 11:49:37 PM
Last modification on : Monday, November 27, 2017 - 2:14:02 PM

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  • HAL Id : hal-01183276, version 1

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Mohammed Bachir. The multidirectional mean value inequalities with second order information. Journal of Australian Mathematical Society, 2006, 80, pp.159-172. ⟨hal-01183276⟩

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