Nonsmooth analysis and Hamilton–Jacobi equations on Riemannian manifolds

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• 作者：Azagra ; Daniel ; Ferrera ; Juan ; Ló ; pez-Mesas ; Fernando
• 关键词：49J52 ; 58E30 ; Subdifferential ; Riemannian manifolds
• 刊名：Journal of Functional Analysis
• 出版年：2005
• 出版时间：March 15, 2005
• 年：2005
• 卷：220
• 期：2
• 页码：304-361
• 全文大小：530 K

文摘

We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton–Jacobi equations defined on Riemannian manifolds.