no. 3
Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface
Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 3, pp. 293-314.
corrigé par Erratum : “Analytic properties of the resolvent for the Helmholtz operator oustide a periodic surface” 
@article{AIHPA_1994__61_3_293_0,
     author = {Ducomet, B.},
     title = {Analytic properties of the resolvent for the {Helmholtz} operator outside a periodic surface},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {293--314},
     publisher = {Gauthier-Villars},
     volume = {61},
     number = {3},
     year = {1994},
     mrnumber = {1311069},
     zbl = {0811.35020},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1994__61_3_293_0/}
}
TY  - JOUR
AU  - Ducomet, B.
TI  - Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1994
SP  - 293
EP  - 314
VL  - 61
IS  - 3
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1994__61_3_293_0/
LA  - en
ID  - AIHPA_1994__61_3_293_0
ER  - 
%0 Journal Article
%A Ducomet, B.
%T Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface
%J Annales de l'I.H.P. Physique théorique
%D 1994
%P 293-314
%V 61
%N 3
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1994__61_3_293_0/
%G en
%F AIHPA_1994__61_3_293_0
Ducomet, B. Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface. Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 3, pp. 293-314. http://archive.numdam.org/item/AIHPA_1994__61_3_293_0/

[1] C. Gérard, Resonance theory in atom-surface scattering, Commun. Math. Phys., Vol. 126, 1989, pp. 263-290. | MR | Zbl

[2] C. Bardos, J.C. Guillot and 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 Equations, Vol. 7, 1982, pp. 905-958. | MR | Zbl

[3] B. Ducomet, Decay of solutions of the wave equation outside rough surfaces, Preprint PTN-92, 1992. | MR

[4] P.D. Lax and R.S. Phillips, Scattering theory, Academic Press, 1989. | MR | Zbl

[5] H.D. Alber, A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent, Proc. of the Royal Soc. of Edinburgh, Vol. 82A, 1979, pp. 252-272. | MR | Zbl

[6] R. Dautray and J.-L. Lions, Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques, Masson, 1985. | Zbl

[7] J.L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, T. 1, Dunod, 1968. | Zbl

[8] J. Giroire, Integral equation methods for exterior problems for the Helmholtz equation, Internal report 40, Centre de Mathématiques Appliquées, École Polytechnique, 1978.

[9] G.I. Eskin, Boundary value problems for elliptic pseudo-differential equations, AMS Translations, 1981.

[10] M. Reed and B. Simon, Methods of modem mathematical physics, Vol. 4, Academic Press, 1980. | MR | Zbl

[11] J. Ralston, Note on the decay of acoustic waves, Duke Math. J., Vol. 46, 1979, pp. 799-804. | MR | Zbl

[12] R. Melrose, Singularities and energy decay in acoustical scattering, Duke Math. J.,, Vol. 46, 1979, pp. 43-59. | MR | Zbl

[13] B.R. Vainberg, On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t → ∞ of solutions of non-stationary problems, Russian Math. Surveys, Vol. 30, 1975, pp. 1-58. | MR | Zbl