Titelaufnahme

Titel
Optimal control of semilinear elliptic equations in measure spaces
Verfasser/ VerfasserinCasas-Alvero, E. In der Gemeinsamen Normdatei der DNB nachschlagen ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
SIAM Journal on Control and Optimization, Philadelphia, Pa., 2013, Jg. 52, H. 1, S. 339-364
ErschienenSIAM
Ausgabe
Publisher version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)measure controls / optimal control / sparsity / semilinear elliptic equation / first and second order optimality conditions / stability analysis
ISSN1095-7138
URNurn:nbn:at:at-ubg:3-1228 Persistent Identifier (URN)
DOI10.1137/13092188X 
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Optimal control of semilinear elliptic equations in measure spaces [0.31 mb]
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Zusammenfassung (Englisch)

Optimal control problems in measure spaces governed by semilinear elliptic equations are considered. First order optimality conditions are derived and structural properties of their solutions, in particular sparsity, are discussed. Necessary and sufficient second order optimality conditions are obtained as well. On the basis of the sufficient conditions, stability of the solutions is analyzed. Highly nonlinear terms can be incorporated by utilizing an L() regularity result for solutions of the first order necessary optimality conditions.

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