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Title: Scattering poles near the real axis for two strictly convex obstacles
Description: Iantchenko, A., (2007) 'Scattering poles near the real axis for two strictly convex obstacles', Annales of the Institute Henri Poincar? 8 pp.513-568 RAE2008;To study the location of poles for the acoustic scattering matrix for two strictly convex obstacles with smooth boundaries, one uses an approximation of the quantized billiard operator M along the trapped ray between the two obstacles. Using this method G?rard (cf. [7]) obtained complete asymptotic expansions for the poles in a strip Im z ? c as Re z tends to infinity. He established the existence of parallel rows of poles close to Assuming that the boundaries are analytic and the eigenvalues of Poincar? map are non-resonant we use the Birkhoff normal form for M to improve his result and to get the complete asymptotic expansions for the poles in any logarithmic neighborhood of real axis.;Peer reviewed
URI: http://localhost/handle/2160/1405
Other Identifiers: Iantchenko , A 2007 , ' Scattering poles near the real axis for two strictly convex obstacles ' Annales Henri Poincar? , vol 8 , no. 3 , pp. 513-568 . DOI: 10.1007/s00023-006-0315-3
1424-0637
PURE: 88681
PURE UUID: ccc0b8ff-5de3-4aa0-9bbc-a140c2d3f98f
dspace: 2160/1405
DSpace_20121128.csv: row: 1096
Scopus: 34547417573
http://hdl.handle.net/2160/1405
https://doi.org/10.1007/s00023-006-0315-3
Type Of Material: /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article
Appears in Collections:Mathematics & Physics

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