caa a22 4500 467989036 CHVBK 20180323112539.0 cr unu---uuuuu 170328e19900301xx s 000 0 eng 10.1007/BF01298849 doi (NATIONALLICENCE)springer-10.1007/BF01298849 On the sensitivity and relaxability of optimal control problems governed by nonlinear evolution equations with state constraints [Elektronische Daten] [Evgenios Avgerinos, Nikolaos Papageorgiou] In this work we examine the relation between the sensitivity (well posedness) and relaxability for nonlinear distributed parameter systems. We introduce the notion of "strong calmness” which describes the dependence of the value of the problem on the state constraints, and we show that it is equivalent to "relaxability”. We also present an alternative control free description of the relaxed problem. An example of a nonlinear parabolic optimal control problem of Lagrange type is worked out in detail. Springer-Verlag, 1990 Avgerinos Evgenios School of Technology Mathematics Division, University of Thessaloniki, 54006, Thessaloniki, Greece aut Papageorgiou Nikolaos Department of Mathematics, University of California, 95616, Davis, CA, U.S.A. aut Monatshefte für Mathematik Springer-Verlag 109/1(1990-03-01), 1-23 0026-9255 109:1<1 1990 109 605 https://doi.org/10.1007/BF01298849 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01298849 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avgerinos Evgenios School of Technology Mathematics Division, University of Thessaloniki, 54006, Thessaloniki, Greece aut NATIONALLICENCE 700 1- Papageorgiou Nikolaos Department of Mathematics, University of California, 95616, Davis, CA, U.S.A aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 109/1(1990-03-01), 1-23 0026-9255 109:1<1 1990 109 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer