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Distribution near the real axis of scattering poles generated by a non- hyperbolic periodic ray. (English) Zbl 0808.35091
Summary: We prove lower bounds in small neighborhoods of the real axis on the number of scattering poles for a trapping obstacle with unique periodic non-hyperbolic ray. The periodic ray is such that all eigenvalues of the corresponding Poincaré map are equal to one.

MSC:
35P25 Scattering theory for PDEs
35L05 Wave equation
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References:
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