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Titel
Parabolic control problems in measure spaces with sparse solutions
Verfasser/ VerfasserinCasas-Alvero, E. In der Gemeinsamen Normdatei der DNB nachschlagen ; Clason, Christian ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
SIAM journal on control and optimization / Society for Industrial and Applied Mathematics, Philadelphia, Pa. : Soc., 1.1962 -, Jg. 51, H. 1, S. 28-63
ErschienenSIAM
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)measure controls / optimal control / sparsity / parabolic partial differential equations / convergence estimates
ISSN1095-7138
URNurn:nbn:at:at-ubg:3-361 Persistent Identifier (URN)
DOIdoi:10.1137/120872395 
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Parabolic control problems in measure spaces with sparse solutions [2.83 mb]
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Zusammenfassung (Englisch)

Optimal control problems in measure spaces governed by parabolic equations areconsidered, which are known to promote sparse solutions. Optimality conditions are derived andsome of the structural properties of their solutions, in particular sparsity, are discussed. A frameworkfor their approximation is proposed which is ecient for numerical computations and for whichconvergence is proved and error estimates are provided. Numerical examples illustrate the structuralfeatures of the optimal controls.

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