Second order optimality conditions for optimal control of quasilinear parabolic equations
Second order optimality conditions for optimal control of quasilinear parabolic equations
dc.contributor.author | Bonifacius, Lucas | |
dc.contributor.author | Neitzel, Ira | |
dc.date.accessioned | 2024-08-13T14:46:30Z | |
dc.date.available | 2024-08-13T14:46:30Z | |
dc.date.issued | 03.2017 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11836 | |
dc.description.abstract | We discuss an optimal control problem governed by a quasilinear parabolic PDE including mixed boundary conditions and Neumann boundary control, as well as distributed control. Second order necessary and sufficient optimality conditions are derived. The latter leads to a quadratic growth condition without two-norm discrepancy. Furthermore, maximal parabolic regularity of the state equation in Bessel-potential spaces HD−ζ,p with uniform bound on the norm of the solution operator is proved and used to derive stability results with respect to perturbations of the nonlinear differential operator. | en |
dc.format.extent | 33 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 1705 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | Second order optimality conditions for optimal control of quasilinear parabolic equations | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation (INS) | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.3934/mcrf.2018001 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
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