Tiba, D.; Neittaanmäki, P.; Mäkinen, R. Controllability-type properties for elliptic systems and applications. (English) Zbl 0753.49005 Estimation and control of distributed parameter systems, Proc. Int. Conf., Vorau/Austria 1990, ISNM 100, 341-353 (1991). [For the entire collection see Zbl 0732.00029.]This paper surveys some recent results on approximate and exact controllability for various elliptic problems. Both boundary and distributed controls are used, and the results are used to study some optimal shape design problems. Proofs are generally quite sketchy, but references are given for anyone interested in full details. Reviewer: G.M.Lieberman (Ames) Cited in 1 Document MSC: 49J20 Existence theories for optimal control problems involving partial differential equations 35J67 Boundary values of solutions to elliptic equations and elliptic systems 93B05 Controllability 49N70 Differential games and control 49N75 Pursuit and evasion games Keywords:approximate and exact controllability; elliptic problems; boundary and distributed controls; optimal shape design Citations:Zbl 0732.00029 PDFBibTeX XMLCite \textit{D. Tiba} et al., in: Exponentially stable approximations of weakly damped wave equations. . 341--353 (1991; Zbl 0753.49005)