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All issues Volume 16 / No 3 (July-September 2010) ESAIM: COCV, 16 3 (2010) 794-805 References
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This article has an erratum: [https://doi.org/10.1051/cocv/2009045]

Issue
ESAIM: COCV
Volume 16, Number 3, July-September 2010
Page(s) 794 - 805
DOI https://doi.org/10.1051/cocv/2009014
Published online 02 July 2009
  1. A. Agrachev and M. Caponigro, Controllability on the group of diffeomorphisms. Preprint (2008). [Google Scholar]
  2. J.H. Albert, Genericity of simple eigenvalues for elliptic PDE's. Proc. Amer. Math. Soc. 48 (1975) 413–418. [CrossRef] [MathSciNet] [Google Scholar]
  3. W. Arendt and D. Daners, Uniform convergence for elliptic problems on varying domains. Math. Nachr. 280 (2007) 28–49. [CrossRef] [MathSciNet] [Google Scholar]
  4. V.I. Arnol'd, Modes and quasimodes. Funkcional. Anal. i Priložen. 6 (1972) 12–20. [Google Scholar]
  5. J.M. Ball, J.E. Marsden and M. Slemrod, Controllability for distributed bilinear systems. SIAM J. Control Optim. 20 (1982) 575–597. [CrossRef] [MathSciNet] [Google Scholar]
  6. K. Beauchard, Y. Chitour, D. Kateb and R. Long, Spectral controllability for 2D and 3D linear Schrödinger equations. J. Funct. Anal. 256 (2009) 3916–3976. [CrossRef] [MathSciNet] [Google Scholar]
  7. T. Chambrion, P. Mason, M. Sigalotti and U. Boscain, Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009) 329–349. [Google Scholar]
  8. Y. Chitour, J.-M. Coron and M. Garavello, On conditions that prevent steady-state controllability of certain linear partial differential equations. Discrete Contin. Dyn. Syst. 14 (2006) 643–672. [CrossRef] [MathSciNet] [Google Scholar]
  9. S. Cox and E. Zuazua, The rate at which energy decays in a damped string. Comm. Partial Differential Equations 19 (1994) 213–243. [Google Scholar]
  10. Y.C. de Verdière, Sur une hypothèse de transversalité d'Arnol'd. Comment. Math. Helv. 63 (1988) 184–193. [CrossRef] [MathSciNet] [Google Scholar]
  11. P. Hébrard and A. Henrot, Optimal shape and position of the actuators for the stabilization of a string. Systems Control Lett. 48 (2003) 199–209. [CrossRef] [MathSciNet] [Google Scholar]
  12. P. Hébrard and A. Henrot, A spillover phenomenon in the optimal location of actuators. SIAM J. Control Optim. 44 (2005) 349–366 (electronic). [CrossRef] [MathSciNet] [Google Scholar]
  13. A. Henrot and M. Pierre, Variation et optimisation de formes, Mathématiques et Applications 48. Springer-Verlag, Berlin (2005). [Google Scholar]
  14. L. Hillairet and C. Judge, Generic spectral simplicity of polygons. Proc. Amer. Math. Soc. 137 (2009) 2139–2145. [CrossRef] [MathSciNet] [Google Scholar]
  15. T. Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften 132. Springer-Verlag New York, Inc., New York (1966). [Google Scholar]
  16. J.-L. Lions and E. Zuazua, Approximate controllability of a hydro-elastic coupled system. ESAIM: COCV 1 (1995/1996) 1–15 (electronic). [Google Scholar]
  17. J.-L. Lions and E. Zuazua, A generic uniqueness result for the Stokes system and its control theoretical consequences, in Partial differential equations and applications, Lect. Notes Pure Appl. Math. 177, Dekker, New York (1996) 221–235. [Google Scholar]
  18. T.J. Mahar and B.E. Willner, Sturm-Liouville eigenvalue problems in which the squares of the eigenfunctions are linearly dependent. Comm. Pure Appl. Math. 33 (1980) 567–578. [CrossRef] [MathSciNet] [Google Scholar]
  19. A.M. Micheletti, Metrica per famiglie di domini limitati e proprietà generiche degli autovalori. Ann. Scuola Norm. Sup. Pisa 26 (1972) 683–694. [MathSciNet] [Google Scholar]
  20. A.M. Micheletti, Perturbazione dello spettro dell'operatore di Laplace, in relazione ad una variazione del campo. Ann. Scuola Norm. Sup. Pisa. 26 (1972) 151–169. [Google Scholar]
  21. F. Murat and J. Simon, Étude de problèmes d'optimal design, Lecture Notes in Computer Sciences 41. Springer-Verlag, Berlin (1976). [Google Scholar]
  22. J.H. Ortega and E. Zuazua, Generic simplicity of the spectrum and stabilization for a plate equation. SIAM J. Control Optim. 39 (2000) 1585–1614 (electronic). [Google Scholar]
  23. J.H. Ortega and E. Zuazua, Generic simplicity of the eigenvalues of the Stokes system in two space dimensions. Adv. Differential Equations 6 (2001) 987–1023. [MathSciNet] [Google Scholar]
  24. J.H. Ortega and E. Zuazua, Addendum to: Generic simplicity of the spectrum and stabilization for a plate equation [SIAM J. Control Optim. 39 (2000) 1585–1614; mr1825594]. SIAM J. Control Optim. 42 (2003) 1905–1910 (electronic). [Google Scholar]
  25. J. Sokołowski and J.-P. Zolésio, Introduction to shape optimization: Shape sensitivity analysis, Springer Series in Computational Mathematics 16. Springer-Verlag, Berlin (1992). [Google Scholar]
  26. E.D. Sontag, Mathematical control theory: Deterministic finite-dimensional systems, Texts in Applied Mathematics 6. Springer-Verlag, New York (1990). [Google Scholar]
  27. M. Teytel, How rare are multiple eigenvalues? Comm. Pure Appl. Math. 52 (1999) 917–934. [CrossRef] [MathSciNet] [Google Scholar]
  28. K. Uhlenbeck, Generic properties of eigenfunctions. Amer. J. Math. 98 (1976) 1059–1078. [CrossRef] [MathSciNet] [Google Scholar]
  29. E. Zuazua, Switching controls. J. Eur. Math. Soc. (to appear). [Google Scholar]

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