Équations des ondes amorties

G. Lebeau

Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994)

  • page 1-14

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Lebeau, G.. "Équations des ondes amorties." Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994): 1-14. <http://eudml.org/doc/112079>.

@article{Lebeau1993-1994,
author = {Lebeau, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {first-order differential system},
language = {fre},
pages = {1-14},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Équations des ondes amorties},
url = {http://eudml.org/doc/112079},
year = {1993-1994},
}

TY - JOUR
AU - Lebeau, G.
TI - Équations des ondes amorties
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1993-1994
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 14
LA - fre
KW - first-order differential system
UR - http://eudml.org/doc/112079
ER -

References

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  1. [B-L-R] C. Bardos, G. Lebeau, J. Rauch: Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary, SIAM J. Control and Optimization, vol. 30, n° 5, (1992), p. 1024-1065. Zbl0786.93009MR1178650
  2. [C-Z] S. Cox, E. Zuazua: The rate at which the energy decays in a dumped string, à paraître à C.P.D.E., et Estimations sur le taux de décroissance exponentielle de l'énergie dans des équations d'ondes, Note C.R.A.S., Paris, 317 (1993), p. 249-254. Zbl0796.35098MR1233421
  3. [G] P. Gérard: Microlocal defect measures, C.P.D.E.16 (1991), p. 1761-1794. Zbl0770.35001MR1135919
  4. [G-L] P. Gérard, E. Leichtnam: Ergodic properties of eigenfunctions for the Dirichlet problem, Duke Math. Journal, vol.71, (1993), p. 559-607. Zbl0788.35103MR1233448
  5. [G-K] I.C. Gohberg, M.G. Krein: Introduction to the Theory of Linear non Self adjoint Operators, Translations of Mathematical Monograph, vol. 18, Amer. Math. Soc.1969. Zbl0181.13504MR246142
  6. [H-S] B. Helffer, J. Sjöstrand: Multiple wells in the semi classical limit I, C.P.D.E.9 (4) (1984), p. 337-408. Zbl0546.35053MR740094
  7. [L] G. Lebeau: Equation des ondes amorties, à paraître dans les actes de l'école "Geometric Methods in Mathematical Physics", Math. Physics Studies Book Series, (Kluwers). 
  8. [M-S] R. Melrose, J. Sjöstrand: Singularities of boundary value problems I, CPAM31 (1978), p. 593-617, II, CPAM35 (1982), p. 129-168. Zbl0546.35083MR492794
  9. [R] L. Robbiano: Fonctions de coût et contrôle des solutions des équations hyperboliques, à paraître dans Asymptotic Analysis. Zbl0882.35015
  10. [R-T] J. Rauch, M. Taylor: Decay of Solutions to Nondissipative Hyperbolic Systems on Compact Manifolds, CPAM28 (1975), p. 501-523. Zbl0295.35048MR397184
  11. [T] L. Tartar: H—measures: a new approach for studying homogenization, oscillations and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh Sect.A115 (1993), p. 193-230. Zbl0774.35008MR1069518

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