Digitale Medien
Springer
Communications in mathematical physics
207 (1999), S. 411-438
ISSN:
1432-0916
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Physik
Notizen:
Abstract: The purpose of this paper is to study the resonances for the transmission problem for a strictly convex obstacle in R n n≥ 2. If the speed of propagation in the interior of the body is strictly less than that in the exterior, we obtain an infinite sequence of resonances tending rapidly to the real axis. These resonances are associated with a quasimode for the transmission problem. The main ingredient of the paper is the construction of a quasimode the frequency support of which coincides with the corresponding gliding manifold . To do this we first find a global symplectic normal form for pairs of glancing hypersurfaces in a neighborhood of and then we separate the variables microlocally near the whole glancing manifold .
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/s002200050731
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