Sparse optimal control of a quasilinear elliptic PDE in measure spaces
Sparse optimal control of a quasilinear elliptic PDE in measure spaces
Dokument öffnen (444.5KB)Datum der Veröffentlichung
03.2022Verlag / herausgebende Einrichtung
Institut für Numerische SimulationVerlagsort
BonnMetadaten
Zur Langanzeige
Zitierbarer Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11787
Inhalt
We prove existence of optimal controls for sparse optimal control of a quasilinear elliptic equation in measure spaces and derive first-order necessary optimality conditions. Under additional assumptions also second-order necessary and sufficient optimality conditions are obtained.
Schlagwörter
measure controls, optimal control, sparsity, quasilinear elliptic equation, first and second-order optimality conditions
Klassifikation (DDC)
510 Mathematik 518 Numerische AnalysisErstpublikation
https://ins.uni-bonn.de/publication/preprintsZugehörige Publikation(en)
https://doi.org/10.3934/mcrf.2022049Reihe, Nummer
INS Preprints ; 2202Hoppe, Fabian: Sparse optimal control of a quasilinear elliptic PDE in measure spaces. In: INS Preprints, 2202.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11787
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11787
@unpublished{handle:20.500.11811/11787,
author = {{Fabian Hoppe}},
title = {Sparse optimal control of a quasilinear elliptic PDE in measure spaces},
publisher = {Institut für Numerische Simulation},
year = 2022,
month = mar,
INS Preprints},
volume = 2202,
note = {We prove existence of optimal controls for sparse optimal control of a quasilinear elliptic equation in measure spaces and derive first-order necessary optimality conditions. Under additional assumptions also second-order necessary and sufficient optimality conditions are obtained.},
url = {https://hdl.handle.net/20.500.11811/11787}
}
author = {{Fabian Hoppe}},
title = {Sparse optimal control of a quasilinear elliptic PDE in measure spaces},
publisher = {Institut für Numerische Simulation},
year = 2022,
month = mar,
INS Preprints},
volume = 2202,
note = {We prove existence of optimal controls for sparse optimal control of a quasilinear elliptic equation in measure spaces and derive first-order necessary optimality conditions. Under additional assumptions also second-order necessary and sufficient optimality conditions are obtained.},
url = {https://hdl.handle.net/20.500.11811/11787}
}
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