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The multidirectional mean value inequalities with second order information

Published online by Cambridge University Press:  09 April 2009

Mohammed Bachir
Affiliation:
Laboratoire de Mathématiques, Université Bordeaux I, 351, cours de la Libération, 33405 Talence Cedex, France, e-mail: bachir516@yahoo.fr
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

References

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