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Journal Articles Journal of Australian Mathematical Society Year : 2006

The multidirectional mean value inequalities with second order information

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Mohammed Bachir
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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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Dates and versions

hal-01183276 , version 1 (06-08-2015)

Identifiers

  • HAL Id : hal-01183276 , version 1

Cite

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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