Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions II

Kogut PI, Kupenko OP, Leugering G (2015)


Publication Status: Published

Publication Type: Journal article

Publication year: 2015

Journal

Publisher: European Mathematical Society

Book Volume: 34

Pages Range: 199-219

Journal Issue: 2

DOI: 10.4171/ZAA/1536

Abstract

In this paper we study an optimal control problem for a nonlinear monotone Dirichlet problem where the controls are taken as the matrix-valued coefficients in L-infinity(Omega; R-NxN). Given a suitable cost function, the objective is to provide a substantiation of the first order optimality conditions using the concept of convergence in variable spaces. While in the first part [Z. Anal. Anwend. 34 (2015), 85-108] optimality conditions have been derived and analysed in the general case under some assumptions on the quasi-adjoint states, in this second part, we consider diagonal matrices and analyse the corresponding optimality system without such assumptions.

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APA:

Kogut, P.I., Kupenko, O.P., & Leugering, G. (2015). Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions II. Zeitschrift für Analysis und ihre Anwendungen, 34(2), 199-219. https://doi.org/10.4171/ZAA/1536

MLA:

Kogut, Peter I., Ol'Ga P. Kupenko, and Günter Leugering. "Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions II." Zeitschrift für Analysis und ihre Anwendungen 34.2 (2015): 199-219.

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