Metric Hopf-Lax formula with semicontinuous data

Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 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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Abstract

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
URI:	https://orca.cardiff.ac.uk/id/eprint/75020

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