The multidirectional mean value inequalities with second order information

Mohammed Bachir (1)

1 Equations d'evolution

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.

Domaines: Analyse fonctionnelle [math.FA]

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