Free Access
Volume 19, Number 1, January-March 2013
Page(s) 255 - 273
Published online 11 May 2012
  1. X. Fu, A weighted identity for partial differential operators of second order and its applications. C. R. Acad. Sci., Sér. I Paris 342 (2006) 579–584. [Google Scholar]
  2. A.V. Fursikov and O.Yu. Imanuvilov, Controllability of Evolution Equations, Lect. Notes Ser. Seoul National University, Seoul 34 (1996). [Google Scholar]
  3. E. Hebey, Nonlinear Analysis on Manifolds : Sobolev Spaces and Inequalities, Courant Lect. Notes Math. New York University Courant Institute of Mathematical Sciences, New York 5 (1999). [Google Scholar]
  4. D. Jerison and G. Lebeau, Nodal sets of sums of eigenfunctions, in Harmonic Analysis and Partial Differential Equations. Chicago, IL (1996) 223–239; Chicago Lect. Math., Univ. Chicago Press, Chicago, IL (1999). [Google Scholar]
  5. J. Jost, Riemann Geometry and Geometric Analysis. Springer-Verlag, Berlin, Heidelberg (2005). [Google Scholar]
  6. M.M. Larent’ev, V.G. Romanov and S.P. Shishat·Skii, Ill-posed Problems of Mathematical Physics and Analysis. Edited by Amer. Math. Soc. Providence. Transl. Math. Monogr. 64 (1986). [Google Scholar]
  7. G. Lebeau and L. Robbiano, Contrôle exact de l’équation de la chaleur. Commun. Partial Differ. Equ. 20 (1995) 335–356. [Google Scholar]
  8. G. Lebeau and L. Robbiano, Stabilizzation de l’équation des ondes par le bord. Duke Math. J. 86 (1997) 465–491. [CrossRef] [MathSciNet] [Google Scholar]
  9. G. Lebeau and E. Zuazua, Null controllability of a system of linear thermoelasticity. Arch. Ration. Mech. Anal. 141 (1998) 297–329. [CrossRef] [MathSciNet] [Google Scholar]
  10. X. Liu and X. Zhang, On the local controllability of a class of multidimensional quasilinear parabolic equations. C. R. Math. Acad. Sci., Paris 347 (2009) 1379–1384. [CrossRef] [MathSciNet] [Google Scholar]
  11. A. López, X. Zhang and E. Zuazua, Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. J. Math. Pure. Appl. 79 (2000) 741–808. [Google Scholar]
  12. Q. Lü, Bang-Bang principle of time optimal controls and null controllability of fractional order parabolic equations. Acta Math. Sin. 26 (2010) 2377–2386. [Google Scholar]
  13. Q. Lü, Control and Observation of Stochastic Partial Differential Equations. Ph.D. thesis, Sichuan University (2010). [Google Scholar]
  14. Q. Lü, Some results on the controllability of forward stochastic heat equations with control on the drift. J. Funct. Anal. 260 (2011) 832–851. [CrossRef] [MathSciNet] [Google Scholar]
  15. Q. Lü and G. Wang, On the existence of time optimal controls with constraints of the rectangular type for heat equations. SIAM J. Control Optim. 49 (2011) 1124–1149. [CrossRef] [MathSciNet] [Google Scholar]
  16. L. Miller, How violent are fast controls for Schrödinger and plate vibrations? Arch. Ration. Mech. Anal. 172 (2004) 429–456. [Google Scholar]
  17. J. Milnor, Morse Theory, Ann. Math. Studies. Princeton Univ. Press, Princeton, NJ (1963). [Google Scholar]
  18. K.-D. Phung and X. Zhang, Time reversal focusing of the initial state for Kirchhoff plate. SIAM J. Appl. Math. 68 (2008) 1535–1556. [CrossRef] [Google Scholar]
  19. G. Wang, L-null controllability for the heat equation and its consequences for the time optimal control problem. SIAM J. Control Optim. 47 (2008) 1701–1720. [CrossRef] [MathSciNet] [Google Scholar]
  20. X. Zhang, Explicit observability estimate for the wave equation with lower order terms by means of Carleman inequalities. SIAM J. Control Optim. 39 (2001) 812–834. [CrossRef] [MathSciNet] [Google Scholar]
  21. C. Zheng, Controllability of the time discrete heat equation. Asymptot. Anal. 59 (2008) 139–177. [MathSciNet] [Google Scholar]
  22. E. Zuazua, Controllability and observability of partial differential equations : Some results and open problems, in Handbook of Differential Equations : Evolutionary Differential Equations 3 (2006) 527–621. [Google Scholar]

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