Diffusion pour l'équation des ondes dans un domaine extérieur

 Access to full text

 Full (PDF)

1. [1] C. Bardos, J. C. Guillot, J. Ralston : La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion. Comm. in Partial Differential Equations7 (1982) 905-958. Zbl0496.35067MR668585
2. [2] C. Bardos, G. Lebeau, J. Rauch : en préparation. 
3. [3] J. Chazarain : Construction de la paramétrix du problème mixte hyperbolique pour l'équation des ondes ; CRASPARIS276 (1973) 1213-1215. Zbl0253.35058MR320536
4. [4] L. Hörmander : On the existence and regularity of solutions of linear pseudo-differential equations. Enseignement Math. (1971) 99-163. Zbl0224.35084MR331124
5. [5] M. Ikawa : On the poles of the scattering matrix for two strictly convex obstacles. J. Math. Kyoto Univ. Vol. 23 n° 1, 1983. Zbl0561.35060MR692733
6. [6] M. Ikawa : Decay of solutions of the wave equation in the exterior of two convex obstacles. Osaka Jour. of Maths (19) 1982. Zbl0498.35008MR676233
7. [7] Lax. Nirenberg : Lecture on linear partial differential equationsAMSRegional Conference Series17 (1973). Zbl0267.35001
8. [8] P. Lax, R. Phillips : Scattering theory, Academic Press1967. Zbl0697.35004MR217440
9. [9] P. Lax, R. Phillips : Decaying modes for the wave equation in the exterior of an obstacleComm. Pure Appl. Math.22 (1969) 737-787. Zbl0181.38201MR254432
10. [10] P. Lax, R. Phillips : A logarithmic bound on the location of the poles of the scattering matrix ; Arch. Rat. Mech. and Anal, 40 (1971) 268-280. Zbl0216.13002MR296534
11. [11] G. Lebeau : Régularité Gevrey 3 pour la diffraction. Preprint. Zbl0559.35019
12. [12] F. G. Friedlander, R. B. Melrose : The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II. Math. Proc. Camb. Phil. Soc. (1977) 8197.120. Zbl0356.35056MR437938
13. [13] R. B. Melrose : Microlocal parametrices for diffractive boundary value problemsDuke Math. Journal42 (1975) 605-635. Zbl0368.35055MR517101
14. [14] R. B. Melrose : Singularities and energy decay in acoustical scattering. Duke Math. Journal46 (1979) 43-59. Zbl0415.35050MR523601
15. [15] R. B. Melrose : Polynomial bound on the number of scattering poles. J. of Fonct. Anal.53 (1983) 287-303. Zbl0535.35067MR724031
16. [16] R. B. Melrose, J. Sjöstrand : Singularities of boundary value problems I. C.P.A.M.31 (1978) 593-617. Zbl0368.35020MR492794
17. [17] C. Morawetz, J. Ralston, W. StraussDecay of solutions of the wave equations outside non trapping obstaclesC.P.A.M.30 (1977) 447-508. Zbl0372.35008MR509770
18. [18] V. M. Petkov : La distribution des pôles de la matrice de diffusion. Sem. Goulaouic - Meyer - Schwartz1982-1983 exposé n° 7. Zbl0537.35061
19. [19] J. Ralston : Solutions of the wave équation with localized energy. C.P.A.M.22 (1969) 207, 223. Zbl0209.40402MR254433
20. [20] Sjöstrand : Propagation of analytic singularities for second order Dirichlet problems, Com. in P.D.E.5 (1) (1980) 41-94. Zbl0458.35026MR556454
21. [21] M. Sato T. Kawaï, M. Kashiwara : Hyperfonctions and Pseudo-Differential Equations ; Lect. Notes n° 287, Springer. Zbl0277.46039MR420735