Examples of periodic elastic waveguides are constructed, the essential spectrum of which has a gap, i.e. an open interval in the positive real semiaxis intersecting with the discrete spectrum only. The gap is detected with the help of an inequality of Korn's type and the max-min principle for eigenvalues of self-adjoint positive operators. Under a certain symmetry assumption, it is demonstrated that the first band of the essential spectrum can include eigenvalues in the point spectrum. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Titolo: | Gaps in the essential spectrum of periodic elastic waveguides | |
Autori interni: | ||
Data di pubblicazione: | 2009 | |
Rivista: | ||
Handle: | http://hdl.handle.net/20.500.12070/4508 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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