Abstract
We consider the justification of formally obtained first order optimality conditions to be satisfied by the minimizer of an integral functional. The functionals with which we are concerned need not be convex and are not differentiable. The principal hypothesis (H1) is merely that the integrand be “locally smooth where finite.”
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
V. Barbu and T.I. Seidman, Existence for minimization in Banach space with some applications. To appear in J. Math. Anal. and Appl.
D. Motreanu, Existence for minimization with nonconvex constraints. J. Math. Anal. and Appl. 117 (1986) 128–137.
T.I. Seidman and P. Wolfe, Equilibrium states of an elastic conducting rod in a magnetic field. (Submitted)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer Basel AG
About this chapter
Cite this chapter
Seidman, T.I. (1987). Justification of Necessary Optimality Conditions for Certain Integral Functionals. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations II: Theory and Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 78. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7627-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7627-8_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7629-2
Online ISBN: 978-3-0348-7627-8
eBook Packages: Springer Book Archive