The multidirectional mean value inequalities with second order information

• Autores: Mohammed Bachir
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 80, Nº 2, 2006, págs. 159-172
• Idioma: inglés
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• Resumen

  • 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.