J. Aust. Math. Soc.  80 (2006), 159-172

The multidirectional mean value inequalities with second order information

Mohammed Bachir   Laboratoire de Mathématiques   Université Bordeaux I   351, cours de la Libération   33405 Talence Cedex   France   bachir516@yahoo.fr

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.

Download the article in PDF format (size 117 Kb)

Australian Mathematical Publishing Association Inc. ©  Australian MS