@article{SEDP_1994-1995____A5_0, author = {Stoyanov, L.}, title = {Poisson relation for the scattering kernel and inverse scattering by obstacles}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:5}, pages = {1--10}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1994-1995}, mrnumber = {1362553}, language = {en}, url = {http://archive.numdam.org/item/SEDP_1994-1995____A5_0/} }
TY - JOUR AU - Stoyanov, L. TI - Poisson relation for the scattering kernel and inverse scattering by obstacles JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:5 PY - 1994-1995 SP - 1 EP - 10 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://archive.numdam.org/item/SEDP_1994-1995____A5_0/ LA - en ID - SEDP_1994-1995____A5_0 ER -
%0 Journal Article %A Stoyanov, L. %T Poisson relation for the scattering kernel and inverse scattering by obstacles %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:5 %D 1994-1995 %P 1-10 %I Ecole Polytechnique, Centre de Mathématiques %U http://archive.numdam.org/item/SEDP_1994-1995____A5_0/ %G en %F SEDP_1994-1995____A5_0
Stoyanov, L. Poisson relation for the scattering kernel and inverse scattering by obstacles. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1994-1995), Exposé no. 5, 10 p. http://archive.numdam.org/item/SEDP_1994-1995____A5_0/
[G] Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS Kyoto Univ. 12 (1977), 69-88. | MR | Zbl
,[GM] The Poisson sumation formula for manifolds with boundary, Adv. in Math. 32 (1979), 204-232. | MR | Zbl
and ,[H] The Analysis of Linear Partial Differential Operators, vol. III, Berlin, Springer, 1985. | Zbl
,[LP1] Scattering Theory, Academic Press, New York, 1967. | MR | Zbl
and ,[LP2] The scattering of sound waves by an obstacle, Comm. Pure Appl. Math. 30 (1977), 195-233. | MR | Zbl
and ,[Ma] A representation formula for the scattering operator and the inverse problem for arbitrary bodies, Comm. Pure Appl. Math. 30 (1977), 165-194. | MR | Zbl
,[MaT] Inverse scattering problems for transparant obstacles, electromagnetic waves and hyperbolic systems, Commun. Partial Diff. Equations 2 (1977), 395-438. | MR | Zbl
and ,[M1] Microlocal parametrices for diffractive boundary value problems, Duke Math. J. 42 (1975), 605-635. | MR | Zbl
,[M2] Equivalence of glancing hypersurfaces, Invent. Math. 37, 165-191 (1976) | MR | Zbl
,[M3] Geometric Scattering Theory, Lectures at Stanford University, M.I.T. 1994. | MR | Zbl
,[MS] Singularities in boundary value problems. I, II. Comm. Pure Appl. Math. 31 (1978), 593-617; 35 (1982),129-168. | Zbl
and ,[P] High frequency asymptotics of the scattering amplitude for non-convex bodies. Commun. Partial Diff. Equations 5 (1980), 293-329. | MR | Zbl
,[PS1] Geometry of Reflecting Rays and Inverse Spectral Problems, John Wiley & Sons, Chichester, 1992. | MR | Zbl
and ,[PS2] Sojourn times of trapping rays and the behaviour of the modified resolvent of the Laplacian, Ann. Inst. Henri Poincare (Physique Theorique), to appear. | Numdam | MR | Zbl
and ,[So] Singularities of the scattering kernel for convex obstacles, J. Math. Kyoto Univ. 22 (1983), 729-765. | MR | Zbl
,[St1] Regularity properties of the generalized Hamiltonian flow, Seminaire EDP, Ecole Polytechnique, Exposé, 1992 -1993. | Numdam | MR | Zbl
,[St2] Generalized Hamiltonian flow and Poisson relation for the scattering kernel, Preprint, Maths. Dept., University of Western Australia 1994.
,[T] Grazing rays and reflection of singularities to wave equations, Commun. Pure Appl. Math. 29 (1978), 1-38. | MR | Zbl
,[Y] Characterization of a convex obstacle by singularities of the scattering kernel, J. Diff. Equations 64 (1986), 283-293. | MR | Zbl
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