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

Zeitschrift für Analysis und ihre Anwendungen European Mathematical Society

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.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Oles Honchar Dnipropetrovsk National University / Дніпропетровський національний університет імені Олеся Гончара UA Ukraine (UA) National Academy of Sciences US United States (USA) (US)

How to cite

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.

BibTeX: Download