Issue
ESAIM: COCV
Volume 27, 2021
Special issue in honor of Enrique Zuazua's 60th birthday
Article Number E3
Number of page(s) 9
DOI https://doi.org/10.1051/cocv/2021092
Published online 01 October 2021
  1. K. Beauchard and E. Zuazua, Large time asymptotics for partially dissipative hyperbolic systems. Arch. Ratl. Mech. Anal. 199 (2011) 177–227. [CrossRef] [Google Scholar]
  2. C. Castro and E. Zuazua, Low frequency asymptotic analysis of a string with rapidly oscillating density. SIAM J. Appl. Math. 60 (2000) 1205–1233. [CrossRef] [Google Scholar]
  3. T. Duyckaerts, X. Zhang and E. Zuazua, On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Ann. Inst. Henri Poincaré Anal. Non Linéaire 25 (2008) 1–41. [CrossRef] [Google Scholar]
  4. S. Ervedoza, A. Marica and E. Zuazua, Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis. IMA J. Numer. Anal. 36 (2016) 503–542. [CrossRef] [Google Scholar]
  5. C. Fabre, J.-P. Puel and E. Zuazua, Approximate controllability of the semilinear heat equation. Proc. Roy. Soc. Edinburgh Sect. A 125 (1995) 31–61. [Google Scholar]
  6. E. Fernández-Cara and E. Zuazua, The cost of approximate controllability for heat equations: the linear case. Adv. Differ. Equ. 5 (2000) 465–514. [Google Scholar]
  7. E. Fernández-Cara and E. Zuazua, Null and approximate controllability for weakly blowing up semilinear heat equations. Ann. Inst. Henri Poincaré Anal. Non Linéaire 17 (2000) 583–616. [CrossRef] [MathSciNet] [Google Scholar]
  8. R. Glowinski, C.H. Li and J.-L. Lions, A numerical approach to the exact boundary controllability of the wave equation. I. Dirichlet controls: description of the numerical methods. Jpn. J. Appl. Math. 7 (1990) 1–76. [Google Scholar]
  9. A. Haraux, Semi-linear hyperbolic problems in bounded domains. Math. Rep. 3 (1987) i–xxiv and 1–281. [Google Scholar]
  10. A. Haraux and E. Zuazua, Decay estimates for some semilinear damped hyperbolic problems. Arch. Ratl. Mech. Anal. 100 (1988) 191–206. [CrossRef] [MathSciNet] [Google Scholar]
  11. A. Haraux and E. Zuazua, Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. J. Differ. Equ. 74 (1988) 11–28. [CrossRef] [Google Scholar]
  12. L.I. Ignat and E. Zuazua, Convergence of a two-grid algorithm for the control of the wave equation. J. Eur. Math. Soc. (JEMS) 11 (2009) 351–391. [CrossRef] [Google Scholar]
  13. J.A. Infante and E. Zuazua, Boundary observability for the space semi-discretizations of the 1-D wave equation. ESAIM: M2AN 33 (1999) 407–438. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  14. V. Komornik and E. Zuazua, A direct method for the boundary stabilization of the wave equation. J. Math. Pures Appl. 69 (1990) 33–54. [Google Scholar]
  15. G. Lebeau and E. Zuazua, Decay rates for the three-dimensional linear system of thermoelasticity. Arch. Ratl. Mech. Anal. 148 (1999) 179–231. [CrossRef] [MathSciNet] [Google Scholar]
  16. 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. Pures Appl. 79 (2000) 741–808. [CrossRef] [MathSciNet] [Google Scholar]
  17. A. Marica and E. Zuazua, Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1-d wave equation. C. R. Math. Acad. Sci. Paris 348 (2010) 1087–1092. [CrossRef] [Google Scholar]
  18. A. Marica and E. Zuazua, High frequency wave packets for the Schrödinger equation and its numerical approximations. C. R. Math.Acad. Sci. Paris 349 (2011) 105–110. [CrossRef] [Google Scholar]
  19. A. Münch and E. Zuazua, Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Inverse Probl. 26 (2010) 085018. [Google Scholar]
  20. M. Negreanu and E. Zuazua, Convergence of a multigrid method for the controllability of a 1-d wave equation. C. R. Math. Acad. Sci. Paris 338 (2004) 413–418. [CrossRef] [MathSciNet] [Google Scholar]
  21. Y. Privat, E. Trélat and E. Zuazua, Optimal location of controllers for the one-dimensional wave equation. Ann. Inst. Henri Poincaré Anal. Non Linéaire 30 (2013) 1097–1126. [CrossRef] [Google Scholar]
  22. Y. Privat, E. Trélat and E. Zuazua, Optimal shape and location of sensors for parabolic equations with random initial data. Arch. Ratl. Mech. Anal. 216 (2015) 921–981. [CrossRef] [Google Scholar]
  23. Y. Privat, E. Trélat and E. Zuazua, Actuator design for parabolic distributed parameter systems with the moment method. SIAM J. Control Optim. 55 (2017) 1128–1152. [CrossRef] [Google Scholar]
  24. L.T. Tebou and E. Zuazua, Uniform boundary stabilization of the finite difference space discretization of the 1-d wave equation. Adv. Comput. Math. 26 (2007) 337–365. [CrossRef] [MathSciNet] [Google Scholar]
  25. E. Trélat, C. Zhang and E. Zuazua, Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. SIAM J. Control Optim. 56 (2018) 1222–1252. [Google Scholar]
  26. E. Zuazua, Contrôlabilité exacte d’un modèle de plaques vibrantes en un temps arbitrairement petit. C. R. Acad. Sci. Paris Sér. I Math. 304 (1987) 173–176. [Google Scholar]
  27. E. Zuazua, Decay estimates for some semilinear damped hyperbolic problems. Asymptotic Anal. 1 (1988) 161–185. [CrossRef] [Google Scholar]
  28. E. Zuazua, Exact controllability for semilinear wave equations in one space dimension. Ann. Inst. Henri Poincaré Anal. Non Linéaire 10 (1993) 109–129. [Google Scholar]
  29. E. Zuazua, Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square. J. Math. Pures Appl. (9) 78 (1999) 523–563. [CrossRef] [MathSciNet] [Google Scholar]
  30. E. Zuazua, Propagation, observation, and control of waves approximated by finite difference methods. SIAM Rev. 47 (2005) 197–243. [Google Scholar]

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