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A criterion for the existence of the essential spectrum for beak-shaped elastic bodies

โœ Scribed by G. Cardone; S.A. Nazarov; J. Taskinen


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
328 KB
Volume
92
Category
Article
ISSN
0021-7824

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โœฆ Synopsis


We establish a criterion for the existence of the essential spectrum for the elasticity problem in the case the traction-free surface of a finite elastic body has a beak-shaped irregularity (see Corollary 3.5 and Theorem 4.2). This boundary irregularity is angular in two dimensions and cuspidal in one dimension. We obtain further information on the spectral structure in some particular cases, and formulate open questions and hypotheses.


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