@article{ASENS_2000_4_33_3_361_0, author = {Stoyanov, Luchezar N.}, title = {Generalized Hamilton flow and Poisson relation for the scattering kernel}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {33}, year = {2000}, pages = {361-382}, doi = {10.1016/s0012-9593(00)00115-4}, mrnumber = {2001g:37120}, zbl = {0963.37055}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_2000_4_33_3_361_0} }
Stoyanov, Luchezar. Generalized Hamilton flow and Poisson relation for the scattering kernel. Annales scientifiques de l'École Normale Supérieure, Tome 33 (2000) pp. 361-382. doi : 10.1016/s0012-9593(00)00115-4. http://gdmltest.u-ga.fr/item/ASENS_2000_4_33_3_361_0/
[1] Foundations of Mechanics, London, Benjamin/Cummings, 1978. | MR 81e:58025 | Zbl 0393.70001
, ,[2] Measure, Topology, and Fractal Geometry, New York, Springer, 1990. | MR 92a:54001 | Zbl 0727.28003
,[3] Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS Kyoto Univ. 12 (1977) 69-88. | MR 56 #6759 | Zbl 0381.35064
,[4] The Analysis of Linear Partial Differential Operators, Vol. III, Berlin, Springer, 1985. | Zbl 0601.35001
,[5] Scattering Theory, Academic Press, New York, 1967. | Zbl 0186.16301
, ,[6] Microlocal parametrices for diffractive boundary value problems, Duke Math. J. 42 (1975) 605-635. | MR 58 #24409 | Zbl 0368.35055
,[7] Geometric Scattering Theory, Cambridge Univ. Press, Cambridge, 1994. | Zbl 0849.58071
,[8] Singularities in boundary value problems, I, Comm. Pure Appl. Math. 31 (1978) 593-617. | Zbl 0368.35020
, ,[9] Singularities in boundary value problems, II, Comm. Pure Appl. Math. 35 (1982) 129-168. | Zbl 0546.35083
, ,[10] Decay of solutions to the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math. 30 (1977) 447-508. | MR 509770 | MR 58 #23091a | Zbl 0372.35008
, , ,[11] High frequency asymptotics of the scattering amplitude for non-convex bodies, Comm. Partial Differential Equations 5 (1980) 293-329. | MR 562545 | MR 82c:35061 | Zbl 0435.35065
,[12] Geometry of Reflecting Rays and Inverse Spectral Problems, Chichester, Wiley, 1992. | MR 1172998 | MR 93i:58161 | Zbl 0761.35077
, ,[13] 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. | Numdam | MR 1313359 | MR 96g:58199 | Zbl 0838.35093
, ,[14] Rigidity of the scattering length spectrum, Preprint 1997/1998. | MR 1490119 | Zbl 0910.35143
,[15] Poisson relation for the scattering kernel and inverse scattering by obstacles, in : Séminaire EDP, Exposé V, École Polytechnique, 1994-1995. | Numdam | MR 1362553 | Zbl 0888.58070
,[16] Grazing rays and reflection of singularities to wave equations, Comm. Pure Appl. Math. 29 (1976) 1-38. | MR 397175 | MR 53 #1035 | Zbl 0318.35009
,