Zeros of Opuc and Long Time Asymptotics of Schur and Related Flows
نویسندگان
چکیده
We provide a complete analysis of the asymptotics for the semi-infinite Schur flow: αj(t) = (1 − |αj(t)|)(αj+1(t) − αj−1(t)) for α−1(t) = 1 boundary conditions and n = 0, 1, 2, . . . , with initial condition αj(0) ∈ (−1, 1). We also provide examples with αj(0) ∈ D for which α0(t) does not have a limit. The proofs depend on the solution via a direct/inverse spectral transform.
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تاریخ انتشار 2006