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The Spectrum of a Hyperbolic Evolution Operator

✍ Scribed by J. Cooper; H. Koch

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
923 KB
Volume
133
Category
Article
ISSN
0022-1236

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✦ Synopsis

We study the time (T)-map (U) which maps initial data (\left(u_{0}, u_{1}\right)) to the solution and its derivative (\left(u(T), u_{d}(T)\right)) of the homogeneous wave equation in a domain with time (T)-periodic boundary. The spectrum of (U) and the type of the spectrum are completely analyzed. The spectrum is the unit circle if a certain rotation number is irrational. It is a full annulus if this rotation number is rational and a weak additional assumption is satisfied. r. 1995 Academic Press. Inc.

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