Abstract and Applied Analysis

Optimal Control Problems for Nonlinear Variational Evolution Inequalities

Eun-Young Ju and Jin-Mun Jeong

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Abstract

We deal with optimal control problems governed by semilinear parabolic type equations and in particular described by variational inequalities. We will also characterize the optimal controls by giving necessary conditions for optimality by proving the Gâteaux differentiability of solution mapping on control variables.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 724190, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450472

Digital Object Identifier
doi:10.1155/2013/724190

Mathematical Reviews number (MathSciNet)
MR3034911

Zentralblatt MATH identifier
1264.49005

Citation

Ju, Eun-Young; Jeong, Jin-Mun. Optimal Control Problems for Nonlinear Variational Evolution Inequalities. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 724190, 10 pages. doi:10.1155/2013/724190. https://projecteuclid.org/euclid.aaa/1393450472


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