Sparse optimal control of a quasilinear elliptic PDE in measure spaces

dc.contributor.author	Hoppe, Fabian
dc.date.accessioned	2024-08-08T11:51:47Z
dc.date.available	2024-08-08T11:51:47Z
dc.date.issued	03.2022
dc.identifier.uri	https://hdl.handle.net/20.500.11811/11787
dc.description.abstract	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.	en
dc.format.extent	18
dc.language.iso	eng
dc.relation.ispartofseries	INS Preprints ; 2202
dc.rights	In Copyright
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	measure controls
dc.subject	optimal control
dc.subject	sparsity
dc.subject	quasilinear elliptic equation
dc.subject	first and second-order optimality conditions
dc.subject.ddc	510 Mathematik
dc.subject.ddc	518 Numerische Analysis
dc.title	Sparse optimal control of a quasilinear elliptic PDE in measure spaces
dc.type	Preprint
dc.publisher.name	Institut für Numerische Simulation
dc.publisher.location	Bonn
dc.rights.accessRights	openAccess
dc.relation.doi	https://doi.org/10.3934/mcrf.2022049
ulbbn.pubtype	Zweitveröffentlichung
dcterms.bibliographicCitation.url	https://ins.uni-bonn.de/publication/preprints

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