no. 3
Generalized Hamilton flow and Poisson relation for the scattering kernel
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 3, pp. 361-382. 
@article{ASENS_2000_4_33_3_361_0,
     author = {Stoyanov, Luchezar},
     title = {Generalized {Hamilton} flow and {Poisson} relation for the scattering kernel},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {361--382},
     publisher = {Elsevier},
     volume = {Ser. 4, 33},
     number = {3},
     year = {2000},
     doi = {10.1016/s0012-9593(00)00115-4},
     mrnumber = {2001g:37120},
     zbl = {0963.37055},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/s0012-9593(00)00115-4/}
}
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Stoyanov, Luchezar. Generalized Hamilton flow and Poisson relation for the scattering kernel. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 3, pp. 361-382. doi : 10.1016/s0012-9593(00)00115-4. http://www.numdam.org/articles/10.1016/s0012-9593(00)00115-4/

[1] Abraham R., Marsden J., Foundations of Mechanics, London, Benjamin/Cummings, 1978. | MR | Zbl

[2] Edgar G., Measure, Topology, and Fractal Geometry, New York, Springer, 1990. | MR | Zbl

[3] Guillemin G., Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS Kyoto Univ. 12 (1977) 69-88. | MR | Zbl

[4] Hörmander L., The Analysis of Linear Partial Differential Operators, Vol. III, Berlin, Springer, 1985. | Zbl

[5] Lax P., Phillips R., Scattering Theory, Academic Press, New York, 1967. | Zbl

[6] Melrose R., Microlocal parametrices for diffractive boundary value problems, Duke Math. J. 42 (1975) 605-635. | MR | Zbl

[7] Melrose R., Geometric Scattering Theory, Cambridge Univ. Press, Cambridge, 1994. | Zbl

[8] Melrose R., Sjöstrand J., Singularities in boundary value problems, I, Comm. Pure Appl. Math. 31 (1978) 593-617. | Zbl

[9] Melrose R., Sjöstrand J., Singularities in boundary value problems, II, Comm. Pure Appl. Math. 35 (1982) 129-168. | Zbl

[10] Morawetz C., Ralston J., Strauss W., Decay of solutions to the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math. 30 (1977) 447-508. | MR | Zbl

[11] Petkov V., High frequency asymptotics of the scattering amplitude for non-convex bodies, Comm. Partial Differential Equations 5 (1980) 293-329. | MR | Zbl

[12] Petkov V., Stoyanov L., Geometry of Reflecting Rays and Inverse Spectral Problems, Chichester, Wiley, 1992. | MR | Zbl

[13] Petkov V., Stoyanov L., Sojourn times of trapping rays and the behaviour of the modified resolvent of the Laplacian, Ann. Inst. Henri Poincaré (Physique Théorique) 62 (1995) 17-45. | EuDML | Numdam | MR | Zbl

[14] Stoyanov L., Rigidity of the scattering length spectrum, Preprint 1997/1998. | MR | Zbl

[15] Stoyanov L., Poisson relation for the scattering kernel and inverse scattering by obstacles, in : Séminaire EDP, Exposé V, École Polytechnique, 1994-1995. | EuDML | Numdam | MR | Zbl

[16] Taylor M., Grazing rays and reflection of singularities to wave equations, Comm. Pure Appl. Math. 29 (1976) 1-38. | MR | Zbl

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