Existence for minimization in Banach space with some applications
type: Item
instance of: scholarly article
title: Existence for minimization in Banach space with some applications
zbMATH Open document ID: 0613.49008
DOI: 10.1016/0022-247X(87)90240-X
author: Viorel Barbu
author: Thomas I. Seidman
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The authors give existence theorems for the minimization of lower semicontinuous functionals on the intersection of finitely many half spaces. The level sets are assumed to be bounded and the Gâteaux derivative of the objective has to be of a certain structure. The results are applied to optimal control problems and parameter identification problems for distributed parameter systems.
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 46B99
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49J50
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3992272
zbMATH Keywords: existence theorems
zbMATH Keywords: minimization
zbMATH Keywords: lower semicontinuous functionals
zbMATH Keywords: level sets
zbMATH Keywords: distributed parameter systems
reviewed by: Ekkehard W. Sachs
MaRDI profile type: Publication
cites work: Hamilton-Jacobi equations and synthesis of nonlinear control processes in Hilbert spaces
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cites work: On the variational principle
cites work: Nonconvex minimization problems
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Existence and regularity of extrema
cites work: Q3716913
description: scientific article; zbMATH DE number 3992272