Floquet Theory for Partial Differential Equations (Operator Theory: Advances and Applications) by P.A. Kuchment
English | ISBN: 3764329017 | 1993 | DJVU | 355 pages | 6,4 mb
This monograph provides the first survey of Floquet theory for partial differential equations with periodic coefficients. The author investigates, among others, hypoelliptic, parabolic, elliptic and Schrödinger equations, and boundary value problems arising in applications.
In particular, results are given about completeness of the set of Floquet solutions, Floquet expansions of arbitrary solutions, the distribution of Floquet exponents and quasimomentums, the solvability of nonhomogeneous equations, the existence of decreasing or bounded solutions, and the structure of the spectrum of periodic operators.
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