Control and stabilization of wave equations

Claude Bardos; Gilles Lebeau; Jeff Rauch

Journées équations aux dérivées partielles (1987)

  • page 1-15
  • ISSN: 0752-0360

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Bardos, Claude, Lebeau, Gilles, and Rauch, Jeff. "Contrôle et stabilisation pour l'équation des ondes." Journées équations aux dérivées partielles (1987): 1-15. <http://eudml.org/doc/93147>.

@article{Bardos1987,
author = {Bardos, Claude, Lebeau, Gilles, Rauch, Jeff},
journal = {Journées équations aux dérivées partielles},
keywords = {exact controllability; wave equation; Dirichlet boundary control; Hilbert uniqueness method; propagation of singularities; pseudo-differential equation; microlocal regularity; stabilization},
language = {fre},
pages = {1-15},
publisher = {Ecole polytechnique},
title = {Contrôle et stabilisation pour l'équation des ondes},
url = {http://eudml.org/doc/93147},
year = {1987},
}

TY - JOUR
AU - Bardos, Claude
AU - Lebeau, Gilles
AU - Rauch, Jeff
TI - Contrôle et stabilisation pour l'équation des ondes
JO - Journées équations aux dérivées partielles
PY - 1987
PB - Ecole polytechnique
SP - 1
EP - 15
LA - fre
KW - exact controllability; wave equation; Dirichlet boundary control; Hilbert uniqueness method; propagation of singularities; pseudo-differential equation; microlocal regularity; stabilization
UR - http://eudml.org/doc/93147
ER -

References

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  2. [2] C. Gérard : Asymptotique des poles de la matrice de scattering pour deux obstacles strictement convexes. Prépublication 86T.34 Département de Mathématiques Bat. 425 Université de Paris Sud 91405 Orsay. Zbl0622.35054
  3. [3] P. Grisvard : Controlabilité exacte dans les polygones et les polyhèdres note C.R.A.S. (1987). Zbl0621.93009
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  11. [11] J. Lasiecka et R. Triggiani : Uniform exponential energy decay in a bounded region with L2(0,T ; L2(Ω))-feedback control in the Dirichlet boundary condition. A paraître au J. Diff. Equations. Zbl0629.93047
  12. [12] J. Ralston : Solutions of the wave equation with Localised Energy. Comm. Pure and Appl. Math. 31 (1969) 807-823. Zbl0209.40402MR40 #7642
  13. [13] R. Melrose et J. Sjöstrand : Singularities of boundary value problems I, Comm. Pure and Appl. Math. 22 (1978), 593-617. Zbl0368.35020MR58 #11859
  14. [14] J. Rauch et M. Taylor : Penetration into shadow region and unique continuation properties in hyperbolic mixed problems. Indiana University Mathematics J. 22 (1972), 277-285. Zbl0227.35064MR46 #2240
  15. [15] J. Rauch et M. Taylor : Exponential decay of solutions to hyperbolic equations in bounded domains. Indiana University Mathematics J. 24 (1974), 79-86. Zbl0281.35012MR50 #13906
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  19. [19] J.L. Lions — E. Magenes : Problèmes aux limites non homogènes et applications. Vol. 1-2. Dunod Zbl0165.10801

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