Hoppe, Fabian (2022) Sparse optimal control of a quasilinear elliptic PDE in measure spaces. 15th Viennese Conference on Optimal Control and Dynamic Games 2022, 2022-07-12 - 2022-07-15, Wien, Österreich.
![]() |
PDF
1MB |
Abstract
We considern a sparse optimal control problem governed by a quasilinear elliptic PDE in measure spaces. Under rather general assumptions we prove existence of optimal controls and derive first-order necessary optimality conditions. Under additional assumptions also second-order necessary and sufficient optimality conditions are obtained. The key technique of our analysis is the application of the so-called Kirchhoff transform, i.e. a nonlinear superposition operator that allows to transform the quasilinear state equation into a linear one.
Item URL in elib: | https://elib.dlr.de/192007/ | ||||||||
---|---|---|---|---|---|---|---|---|---|
Document Type: | Conference or Workshop Item (Speech) | ||||||||
Additional Information: | This research has been conducted while the auther was affiliated with University of Bonn, Institute for Numerical Simulation, and partially supported by DFG SFB 1060. | ||||||||
Title: | Sparse optimal control of a quasilinear elliptic PDE in measure spaces | ||||||||
Authors: |
| ||||||||
Date: | July 2022 | ||||||||
Refereed publication: | Yes | ||||||||
Open Access: | Yes | ||||||||
Gold Open Access: | No | ||||||||
In SCOPUS: | No | ||||||||
In ISI Web of Science: | No | ||||||||
Status: | Published | ||||||||
Keywords: | optimal control, sparse, quasilinear, optimality conditions | ||||||||
Event Title: | 15th Viennese Conference on Optimal Control and Dynamic Games 2022 | ||||||||
Event Location: | Wien, Österreich | ||||||||
Event Type: | international Conference | ||||||||
Event Start Date: | 12 July 2022 | ||||||||
Event End Date: | 15 July 2022 | ||||||||
Organizer: | Technische Universität Wien | ||||||||
HGF - Research field: | Aeronautics, Space and Transport | ||||||||
HGF - Program: | Space | ||||||||
HGF - Program Themes: | Space Transportation | ||||||||
DLR - Research area: | Raumfahrt | ||||||||
DLR - Program: | R RP - Space Transportation | ||||||||
DLR - Research theme (Project): | R - Project Amadeus, R - Tasks SISTEC | ||||||||
Location: | Köln-Porz | ||||||||
Institutes and Institutions: | Institut of Simulation and Software Technology > High Performance Computing Institute of Software Technology | ||||||||
Deposited By: | Hoppe, Fabian | ||||||||
Deposited On: | 21 Dec 2022 09:36 | ||||||||
Last Modified: | 09 Apr 2025 09:11 |
Repository Staff Only: item control page