Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost
type: Item
instance of: scholarly article
title: Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost
zbMATH Open document ID: 1053.49026
author: Mauro Garavello
author: Pierpaolo Soravia
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2004-11-05T00:00:00Z
review text: Viscosity solutions of Hamilton-Jacobi equations that arise in optimal control problems with unbounded controls and discontinuous Lagrangian are studied. Under general assumptions, allowing unbounded controls, the authors derive optimality principles, which can be applied to obtain necessary and sufficient conditions for uniqueness in boundary value problems and to characterize minimal and maximal solutions when uniqueness fails.
reviewed by: Gheorghe Aniculăesei
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 2113830
zbMATH Keywords: Hamilton-Jacobi equations
zbMATH Keywords: discontinuous Lagrangian
MaRDI profile type: Publication
full work available at URL: s00030-004-1058-9
OpenAlex ID: W2044917762
DOI: 10.1007/S00030-004-1058-9
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description: scientific article; zbMATH DE number 2113830