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Metric Hopf-Lax formula with semicontinuous data

Dragoni, Federica ORCID: 2007. Metric Hopf-Lax formula with semicontinuous data. Discrete and Continuous Dynamical Systems 17 (4) , pp. 713-729. 10.3934/dcds.2007.17.713

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In this paper we study a metric Hopf-Lax formula looking in particular at the Carnot-Carath ́eodory case. We generalize many properties of the classical euclidean Hopf-Lax formula and we use it in order to get existence results for Hamilton-Jacobi-Cauchy problems satisfying a suitable Ho ̈rmander condition.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Hamilton-Jacobi equations, Hopf-Lax formula, Dynamical Programming Principle, Carnot-Carathéodory distances.
Publisher: American Institute of Mathematical Sciences
Last Modified: 28 Oct 2022 09:35

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