Analytic controllability of the wave equation over a cylinder

Brice Allibert

ESAIM: Control, Optimisation and Calculus of Variations (1999)

  • Volume: 4, page 177-207
  • ISSN: 1292-8119

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Allibert, Brice. "Analytic controllability of the wave equation over a cylinder." ESAIM: Control, Optimisation and Calculus of Variations 4 (1999): 177-207. <http://eudml.org/doc/90540>.

@article{Allibert1999,
author = {Allibert, Brice},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {boundary control; wave equation; analyticity; controllability; observability},
language = {eng},
pages = {177-207},
publisher = {EDP Sciences},
title = {Analytic controllability of the wave equation over a cylinder},
url = {http://eudml.org/doc/90540},
volume = {4},
year = {1999},
}

TY - JOUR
AU - Allibert, Brice
TI - Analytic controllability of the wave equation over a cylinder
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1999
PB - EDP Sciences
VL - 4
SP - 177
EP - 207
LA - eng
KW - boundary control; wave equation; analyticity; controllability; observability
UR - http://eudml.org/doc/90540
ER -

References

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  1. [1] B. Allibert, Contrôle analytique de l'équation des ondes sur des surfaces de révolution. C. R. Acad. Sci. Paris 322 ( 1996) 835-838. Zbl0852.35021MR1390600
  2. [2] B. Allibert, Contrôle analytique de l'équation des ondes sur des surfaces de révolution. Thèse de doctorat de l'École Polytechnique ( 1997). 
  3. [3] A. Haraux, Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire. J. Math. Pures Appl. 68 ( 1989) 457-465. Zbl0685.93039MR1046761
  4. [4] G. Lebeau, Control for hyperbolic equations. Journées "équations aux dérievées partielles" Saint Jean de Monts, 1992. École Polytechnique, Palaiseau ( 1992). Zbl0779.35005MR1191928
  5. [5] G. Lebeau, Fonctions harmoniques et spectre singulier. Ann. Sci. École Norm. Sup. 13 ( 1980) 269-291. Zbl0446.46035MR584087
  6. [6] J.-L. Lions, Contrôlabilité exacte, perturbation et stabilisation des systèmes distribués. Rech. Math. Appl. 8-9 (Masson, Paris, 1988). Zbl0653.93002MR953547
  7. [7] F. Treves, Introduction to pseudodifferential and Fourier integral operators, New York and London Plenum Press Vol. 2, 25 cm (The university series in mathematics, 1980). Zbl0453.47027MR597145
  8. [8] A. Zygmund, Trigonometric Series, Cambridge Univ. Press ( 1968). Zbl0367.42001MR236587

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