Oleinik-Lax formulas and multitime Hamilton-Jacobi systems
type: Item
instance of: scholarly article
title: Oleinik-Lax formulas and multitime Hamilton-Jacobi systems
zbMATH Open document ID: 1019.49028
DOI: 10.1016/S0362-546X(01)00871-9
author: Marc Quincampoix
author: Slawomir Plaskacz
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-11-28T00:00:00Z
review text: In this paper two results for Hamilton-Jacobi equations with semicontinuous solutions are presented. The first result gives a representation formula for the solutions of such equations based on the reachable set of a suitably defined auxiliary differential inclusion. The second result concerns systems of Hamilton-Jacobi equations on different time scales (multitime Hamilton-Jacobi equations). Here a representation formula of the solution by commuting semigroups is developed. Again, reachable sets of suitable differential inclusion play an important role, here as a tool in the proof of the result.
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 1836623
zbMATH Keywords: Hamilton-Jacobi equation
zbMATH Keywords: representation formulas
zbMATH Keywords: multitime Hamilton-Jacobi equations
zbMATH Keywords: reachable set
MaRDI profile type: Publication
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full work available at URL: s0362-546x(01)00871-9
OpenAlex ID: W2091367475
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description: scientific article; zbMATH DE number 1836623