Issue
ESAIM: COCV
Volume 22, Number 4, October-December 2016
Special Issue in honor of Jean-Michel Coron for his 60th birthday
Page(s) 913 - 920
DOI https://doi.org/10.1051/cocv/2016057
Published online 21 October 2016
  1. T. Aubin, Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire. J. Math. Pures Appl. 55 (1976) 269–296. [MathSciNet]
  2. A. Bahri and J.-M. Coron, On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain. Comm. Pure Appl. Math. 41 (1988) 253–294. [CrossRef] [MathSciNet]
  3. C. Bardos, G. Lebeau and J. Rauch, Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. SIAM J. Control Optim. 30 (1992) 1024–1065. [CrossRef] [MathSciNet]
  4. K. Beauchard and J.-M. Coron, Controllability of a quantum particle in a moving potential well. J. Funct. Anal. 232 (2006) 328–389. [CrossRef] [MathSciNet]
  5. K. Beauchard, J.-M. Coron and P. Rouchon, Controllability issues for continuous-spectrum systems and ensemble controllability of Bloch equations. Comm. Math. Phys. 296 (2010) 525–557. [CrossRef] [MathSciNet]
  6. K. Beauchard and M. Morancey, Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Math. Control Relat. Fields 4 (2014) 125–160. [CrossRef] [MathSciNet]
  7. H. Brezis and J.-M. Coron, Multiple solutions of H-systems and Rellich’s conjecture. Comm. Pure Appl. Math. 37 (1984) 149–187. [CrossRef] [MathSciNet]
  8. H. Brezis and J.-M. Coron, Convergence of solutions of H-systems or how to blow bubbles. Arch. Rational Mech. Anal. 89 (1985) 21–56. [CrossRef] [MathSciNet]
  9. H. Brezis, J.-M. Coron and E.H. Lieb, Harmonic maps with defects. Comm. Math. Phys. 107 (1986) 649–705. [CrossRef] [MathSciNet]
  10. H. Brézis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36 (1983) 437–477. [CrossRef] [MathSciNet]
  11. R.W. Brockett, Asymptotic stability and feedback stabilization. In Differential geometric control theory (Houghton, Mich., 1982), edited by R.W. Brockett, R.S. Millman and H.J. Sussmann. Vol. 27 of Progr. Math. Birkhäuser Boston, Boston, MA (1983) 181–191.
  12. E. Cerpa, Exact controllability of a nonlinear Korteweg-de Vries equation on a critical spatial domain. SIAM J. Control Optim. 46 (2007) 877–899. [CrossRef] [MathSciNet]
  13. E. Cerpa and E. Crépeau, Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain. Ann. Inst. Henri Poincaré Anal. Non Linéaire 26 (2009) 457–475. [CrossRef]
  14. J.-M. Coron, Topologie et cas limite des injections de Sobolev. C. R. Acad. Sci. Paris Sér. I Math. 299 (1984) 209–212.
  15. J.-M. Coron, Nonuniqueness for the heat flow of harmonic maps. Ann. Inst. Henri Poincaré Anal. Non Linéaire 7 (1990) 335–344.
  16. J.-M. Coron, Global asymptotic stabilization for controllable systems without drift. Math. Control Signals Systems 5 (1992) 295–312. [CrossRef] [MathSciNet]
  17. J.-M. Coron, Contrôlabilité exacte frontière de l’équation d’Euler des fluides parfaits incompressibles bidimensionnels. C. R. Acad. Sci. Paris Sér. I Math. 317 (1993) 271–276.
  18. J.-M. Coron, Linearized control systems and applications to smooth stabilization. SIAM J. Control Optim. 32 (1994) 358–386. [CrossRef] [MathSciNet]
  19. J.-M. Coron, On the stabilization of controllable and observable systems by an output feedback law. Math. Control Signals Systems 7 (1994) 187–216. [CrossRef] [MathSciNet]
  20. J.-M. Coron, On the stabilization in finite time of locally controllable systems by means of continuous time-varying feedback law. SIAM J. Control Optim. 33 (1995) 804–833. [CrossRef] [MathSciNet]
  21. J.-M. Coron, On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions. ESAIM: COCV 1 (1996) 35–75. [CrossRef] [EDP Sciences]
  22. J.-M. Coron, On the controllability of 2-D incompressible perfect fluids. J. Math. Pures Appl. 75 (1996) 155–188.
  23. J.-M. Coron, Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations. A tribute to J.L. Lions. ESAIM: COCV 8 (2002) 513–554. [CrossRef] [EDP Sciences]
  24. J.-M. Coron, Control and nonlinearity, Vol. 136 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI (2007).
  25. J.-M. Coron, G. Bastin and B. d’Andréa Novel, Dissipative boundary conditions for one-dimensional nonlinear hyperbolic systems. SIAM J. Control Optim. 47 (2008) 1460–1498. [CrossRef] [MathSciNet]
  26. J.-M. Coron and E. Crépeau, Exact boundary controllability of a nonlinear KdV equation with critical lengths. J. Eur. Math. Soc. (JEMS) 6 (2004) 367–398. [CrossRef] [MathSciNet]
  27. J.-M. Coron and A.V. Fursikov, Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary. Russian J. Math. Phys. 4 (1996) 429–448. [MathSciNet]
  28. J.-M. Coron and J.-M. Ghidaglia, Explosion en temps fini pour le flot des applications harmoniques. C. R. Acad. Sci. Paris Sér. I Math. 308 (1989) 339–344.
  29. J.-M. Coron and Q. Lü, Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. J. Math. Pures Appl. 102 (2014) 1080–1120. [CrossRef] [MathSciNet]
  30. J.-M. Coron and Q. Lü, Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. J. Differ. Equ. 259 (2015) 3683–3729. [CrossRef]
  31. J.-M. Coron and H.-M. Nguyen, Dissipative boundary conditions for nonlinear 1-D hyperbolic systems: sharp conditions through an approach via time-delay systems. SIAM J. Math. Anal. 47 (2015) 2220–2240. [CrossRef] [MathSciNet]
  32. J.-M. Coron and E. Trélat, Global steady-state controllability of one-dimensional semilinear heat equations. SIAM J. Control Optim. 43 (2004) 549–569. [CrossRef] [MathSciNet]
  33. A.V. Fursikov and O.Yu. Imanuvilov, Controllability of evolution equations. Vol. 34 of Lecture Notes Series. Seoul National University Research Institute of Mathematics Global Analysis Research Center, Seoul (1996).
  34. O. Glass, Exact boundary controllability of 3-D Euler equation. ESAIM: COCV 5 (2000) 1–44. [CrossRef] [EDP Sciences]
  35. O. Glass, La méthode du retour en contrôlabilité et ses applications en mécanique des fluides [d’après Coron et al.]. Astérisque, (348), Exp. No. 1027, vii, 1–16 (2012). Séminaire Bourbaki. Vol. 2010/2011. Exposés 1027–1042.
  36. L.F. Ho, Observabilité frontière de l’équation des ondes. C. R. Acad. Sci. Paris Sér. I Math. 302 (1986) 443–446.
  37. O.Yu. Imanuvilov, Boundary controllability of parabolic equations. Uspekhi Mat. Nauk 48 (1993) 211–212.
  38. O.Yu. Imanuvilov, Controllability of parabolic equations. Mat. Sb. 186 (1995) 109–132.
  39. M. Krstic and A. Smyshlyaev, Boundary control of PDEs. A course on backstepping designs. Vol. 16 of Advances in Design and Control. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA (2008).
  40. G. Lebeau and L. Robbiano, Contrôle exact de l’équation de la chaleur. Comm. Partial Differ. Equ. 20 (1995) 335–356. [CrossRef] [MathSciNet]
  41. J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Contrôlabilité exacte. [Exact controllability], With appendices by E. Zuazua, C. Bardos, G. Lebeau and J. Rauch. Tome 1, Vol. 8 of Recherches en Mathématiques Appliquées [Research in Applied Mathematics]. Masson, Paris (1988).
  42. J.-L. Lions, Exact controllability, stabilization and perturbations for distributed systems. SIAM Rev. 30 (1988) 1–68. [CrossRef] [MathSciNet]
  43. M. Morancey, Simultaneous local exact controllability of 1D bilinear Schrödinger equations. Ann. Inst. Henri Poincaré Anal. Non Linéaire 31 (2014) 501–529. [CrossRef]
  44. L. Rosier, Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain. ESAIM: COCV 2 (1997) 33–55. [CrossRef] [EDP Sciences]
  45. D.L. Russell, Nonharmonic Fourier series in the control theory of distributed parameter systems. J. Math. Anal. Appl. 18 (1967) 542–560. [CrossRef] [MathSciNet]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.