Abstract
The main object of our consideration in this chapter is the following parameterized minimization problem
where \(I_{{\varepsilon}}:(\Xi_{{\varepsilon}}\subseteq \mathbb{X}_{{\varepsilon}})\rightarrow\overline{\mathbb{R}}\) is an objective functional, \(\Xi_{{\varepsilon}}\subseteq \mathbb{X}_{{\varepsilon}}\) is a set of admissible solutions, and \(\mathbb{X}_{{\varepsilon}}\) is some Banach space.
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© 2011 Springer Science+Business Media, LLC
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Kogut, P.I., Leugering, G.R. (2011). Passing to the Limit in Constrained Minimization Problems. In: Optimal Control Problems for Partial Differential Equations on Reticulated Domains. Systems & Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8149-4_8
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DOI: https://doi.org/10.1007/978-0-8176-8149-4_8
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8148-7
Online ISBN: 978-0-8176-8149-4
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