Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes

V. Petkov

Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981)

  • page 1-18

How to cite

top

Petkov, V.. "Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-18. <http://eudml.org/doc/111772>.

@article{Petkov1980-1981,
author = {Petkov, V.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {wave operator in exterior domains; asymptotic behavior of the scattering phase; Dirichlet problem; Neumann problem; bicharacteristic; non-convex obstacle},
language = {fre},
pages = {1-18},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes},
url = {http://eudml.org/doc/111772},
year = {1980-1981},
}

TY - JOUR
AU - Petkov, V.
TI - Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 18
LA - fre
KW - wave operator in exterior domains; asymptotic behavior of the scattering phase; Dirichlet problem; Neumann problem; bicharacteristic; non-convex obstacle
UR - http://eudml.org/doc/111772
ER -

References

top
  1. [1] K. Anderson et R. Melrose: The propagation of singularities along gliding rays, Invent. Math., 41, 1977, 197-232. Zbl0373.35053MR494322
  2. [2] C. Bardos, J.C. Guillot et J. Ralston: Relation de Poisson pour l'équation des ondes dans un ouvert non-borné, C.R. Acad. Sc. Paris, 290, 1980, 495-497. Zbl0433.35041MR571559
  3. [3] C. Bardos, J.C. Guillot et J. Ralston: Relation de Poisson pour l'équation des ondes dans un ouvert non-borné, Séminaire Goulaouic-Schwartz, 1979-1980, Exposé n° XIII. Zbl0445.35071
  4. [4] M. Birman et M. Krein: On the theory of the wave operators and scattering operators, Dokl. Akad. Nauk SSSR, 144, 1962, 475-478. Zbl0196.45004MR139007
  5. [5] V.S. Buslaev: Scattering plane waves, spectral asymptotics and trace formulas in exterior problems, Dokl. Akad. Nauk SSSR, 197, 1971, 999-1002. Zbl0224.47023MR278108
  6. [6] V. Guillemin: Some classical theorems in spectral theory revisited, Seminar on Singularities of Solutions, Princeton University Press1978, 219-259. Zbl0452.35093MR547021
  7. [7] V. Ia. Ivrii: On the second term of the spectral asymptotics for the Laplace-Beltrami operator on manifolds with boundary and for elliptic operators acting in fibering, Dokl. Akad. Nauk SSSR, 250, 1980, 1300-1302 (Soviet Math. Doklady, 21, 1980, 300-302). Zbl0448.58024MR564330
  8. [8] V. Ia. Ivrii: On the second term of the spectral asymptotics for the Laplace-Beltrami operator on manifold with boundary, Functional Anal, i ego Pril., 14, n°2, 1980, 25-34 (en russe). Zbl0453.35068MR575202
  9. [9] A. Jensen et T. Kato: Asymptotic behavior of the scattering phase for exterior domains, Comm. in P.D.E., 3, 1978, 1165-1195. Zbl0419.35067MR512084
  10. [10] P. Lax et R. Phillips: Scattering Theory, Academic Press, 1967. Zbl0186.16301MR217440
  11. [11] P. Lax et R. Phillips: The time delay operator and a related trace formula, Stanford University, preprint, 1976. Zbl0463.47006MR538021
  12. [12] A. Majda: A representation formula for the scattering operator and inverse problem for arbitrary bodies, Comm. Pure Appl. Math., 30, 1977, 165-194. Zbl0335.35076MR435625
  13. [13] A. Majda et J. Ralston: An analogue of Weyl's formula for unbounded domains I, Duke Math. J., 45, 1978, 183-196. Zbl0408.35069MR481639
  14. [14] A. Majda et J. Ralston: An analogue of Weyl's formula for unbounded domains III, An epilogue, Duke Math. J., 46, 1979, 725-731. Zbl0433.35055MR552522
  15. [15] R. Melrose et J. Sjostrand: Singularities of boundary value problems I, Comm. Pure Appl. Math., 31, 1978, 593-617. Zbl0368.35020MR492794
  16. [16] R. Melrose: Singularities and energy decay in accoustical scattering, Duke Math. J., 46, 1979, 43-59. Zbl0415.35050MR523601
  17. [17] V. Petkov et G. Popov: Asymptotique de la phase de diffusion pour des domaines non-convexes, C.R. Acad. Sci. Paris, 1981 (à paraître). Zbl0465.35071MR609066
  18. [18] V. Petkov et G. Popov: Asymptotic behavior of the scattering phase for non-trapping obstacles, in preparation. Zbl0476.35014
  19. [19] J. Ralston: Propagation of singularities and the scattering matrix, NATO Avanced Study Institute, Italy, 1980, Propagation of singularities in boundary value problems. Zbl0471.35068MR617231
  20. [20] M. Reed et B. Simon: Methods of Modern Mathematical Physics, Scattering Theory, Academic Press, 1979. Zbl0405.47007MR529429

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.