Casas, Eduardo; Tröltzsch, Fredi Second order analysis for optimal control problems: improving results expected from abstract theory. (English) Zbl 1259.90162 SIAM J. Optim. 22, No. 1, 261-279 (2012). This research work contains an original comparison between the first- and the second-order optimality conditions for some important optimization problems in Banach spaces. By proper applications, the authors suggest significant projections in appropriate numerical methods.Reviewer’s remark: It is a pertinent research, which can be developed by adequate numerical methods. Reviewer: Vasile Postolică (Piatra Neamt) Cited in 55 Documents MSC: 90C48 Programming in abstract spaces 49K20 Optimality conditions for problems involving partial differential equations Keywords:Banach space; optimality PDFBibTeX XMLCite \textit{E. Casas} and \textit{F. Tröltzsch}, SIAM J. Optim. 22, No. 1, 261--279 (2012; Zbl 1259.90162) Full Text: DOI Link