Free Access
Volume 46, Number 4, July-August 2012
Page(s) 911 - 927
Published online 03 February 2012
  1. J.Z. Ben-Asher, E.M. Cliff and J.A. Burns, Computational methods for the minimum effort problem with applications to spacecraft rotational maneuvers, in IEEE Conf. on Control and Applications (1989) 472–478.
  2. C. Clason, K. Ito and K. Kunisch, Minimal invasion : An optimal L state constraint problem. ESAIM : M2AN 45 (2010) 505–522. [CrossRef] [EDP Sciences]
  3. I. Ekeland and R. Témam, Convex analysis and variational problems, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA (1999).
  4. D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Classics in Mathematics. Springer-Verlag, Berlin (2001). Reprint of the 1998 edition.
  5. T. Grund and A. Rösch, Optimal control of a linear elliptic equation with a supremum norm functional. Optim. Methods Softw. 15 (2001) 299–329. [CrossRef] [MathSciNet] [PubMed]
  6. M. Gugat and G. Leugering, L-norm minimal control of the wave equation : On the weakness of the bang-bang principle. ESAIM Control Optim. Calc. Var. 14 (2008) 254–283. [CrossRef] [EDP Sciences] [MathSciNet]
  7. K. Ito and K. Kunisch, Lagrange Multiplier Approach to Variational Problems and Applications, Advances in Design and Control. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA 15 (2008).
  8. K. Ito and K. Kunisch, Minimal effort problems and their treatment by semismooth newton methods. SIAM J. Control Optim. 49 (2011) 2083–2100. [CrossRef] [MathSciNet]
  9. O.A. Ladyzhenskaya and N.N. Ural’tseva, Linear and quasilinear elliptic equations. Translated from the Russian by Scripta Technica, Inc. Translation, edited by L. Ehrenpreis, Academic Press, New York (1968).
  10. L.W. Neustadt, Minimum effort control systems. SIAM J. Control Ser. A 1 (1962) 16–31.
  11. U. Prüfert and A. Schiela, The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints. Z. Angew. Math. Mech. 89 (2009) 536–551. [CrossRef] [MathSciNet]
  12. A. Schiela, A simplified approach to semismooth Newton methods in function space. SIAM J. Optim. 19 (2008) 1417–1432. [CrossRef]
  13. Z. Sun and J. Zeng, A damped semismooth Newton method for mixed linear complementarity problems. Optim. Methods Softw. 26 (2010) 187–205. [CrossRef] [MathSciNet] [PubMed]
  14. G.M. Troianiello, Elliptic Differential Equations and Obstacle Problems. The University Series in Mathematics, Plenum Press, New York (1987).
  15. F. Tröltzsch, Optimal Control of Partial Differential Equations : Theory, Methods and Applications. American Mathematical Society, Providence (2010). Translated from the German by Jürgen Sprekels.
  16. E. Zuazua, Controllability and observability of partial differential equations : some results and open problems, in Handbook of differential equations : evolutionary equations. Handb. Differ. Equ., Elsevier, North, Holland, Amsterdam III (2007) 527–621.

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