Spectral estimates for a periodic fourth-order operator
نویسندگان
چکیده
منابع مشابه
Spectral Estimates for a Periodic Fourth-order Operator
The operator H = d 4 dt4 + d dt p d dt + q with periodic coefficients p, q on the real line is considered. The spectrum of H is absolutely continuous and consists of intervals separated by gaps. The following statements are proved: 1) the endpoints of gaps are periodic or antiperiodic eigenvalues or branch points of the Lyapunov function, and moreover, their asymptotic behavior at high energy i...
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ژورنال
عنوان ژورنال: St. Petersburg Mathematical Journal
سال: 2011
ISSN: 1061-0022,1547-7371
DOI: 10.1090/s1061-0022-2011-01164-1