Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Optimal control of elliptic equations with positive measures

Title data

Clason, Christian ; Schiela, Anton:
Optimal control of elliptic equations with positive measures.
Universität Duisburg-Essen; Universität Bayreuth
In: Control, Optimisation and Calculus of Variations (ESAIM-COCV). (2015) . - 30 S..
ISSN 1262-3377
DOI: https://doi.org/10.1051/cocv/2015046

Related URLs

Abstract in another language

Optimal control problems without control costs in general do not possess solutions due to the lack of coercivity. However, unilateral constraints together with the assumption of existence of strictly positive solutions of a pre-adjoint state equation, are sufficient to obtain existence of optimal solutions in the space of Radon measures. Optimality conditions for these generalized minimizers can be obtained using Fenchel duality, which requires a non-standard perturbation approach if the control-to-observation mapping is not continuous (e.g., for Neumann boundary control in three dimensions). Combining a conforming discretization of the measure space with a semismooth Newton method allows the numerical solution of the optimal control problem.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: accepted, available online
Keywords: optimal control; positive measures;
Subject classification: MSC 2000: 49J20, 49K20
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics) > Professorship Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 29 Oct 2015 08:23
Last Modified: 29 Oct 2015 08:23
URI: https://eref.uni-bayreuth.de/id/eprint/20849