The multidirectional mean value inequalities with second order information

Journal of the Australian Mathematical Society

Mohammed Bachir¹ 

关键词: primary 49J52;    secondary 46G05;    49J50;    58C20;   

DOI  :  10.1017/S1446788700013045

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown