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On the structure of the spectrum for the elasticity problem in a body with a supersharp spike. / Bakharev, F. L.; Nazarov, S. A.

In: Siberian Mathematical Journal, Vol. 50, No. 4, 19.10.2009, p. 587-595.

Research output: Contribution to journal › Article › peer-review

Harvard

Bakharev, FL & Nazarov, SA 2009, 'On the structure of the spectrum for the elasticity problem in a body with a supersharp spike', Siberian Mathematical Journal, vol. 50, no. 4, pp. 587-595. https://doi.org/10.1007/s11202-009-0065-9

APA

Bakharev, F. L., & Nazarov, S. A. (2009). On the structure of the spectrum for the elasticity problem in a body with a supersharp spike. Siberian Mathematical Journal, 50(4), 587-595. https://doi.org/10.1007/s11202-009-0065-9

Vancouver

Bakharev FL, Nazarov SA. On the structure of the spectrum for the elasticity problem in a body with a supersharp spike. Siberian Mathematical Journal. 2009 Oct 19;50(4):587-595. https://doi.org/10.1007/s11202-009-0065-9

Author

Bakharev, F. L. ; Nazarov, S. A. / On the structure of the spectrum for the elasticity problem in a body with a supersharp spike. In: Siberian Mathematical Journal. 2009 ; Vol. 50, No. 4. pp. 587-595.

BibTeX

@article{503bb37f1e5641f6aee3aceebb157e8b,
title = "On the structure of the spectrum for the elasticity problem in a body with a supersharp spike",
abstract = "We establish that the continuous spectrum of the Neumann problem for the system of elasticity equations occupies the entire closed positive real semiaxis in the case that a three-dimensional body with a sharp-spiked cusp whose cross-section contracts to a point with the velocity O(r1+γ), where r is the distance to the vertex of the spike and γ > 1 is the sharpness exponent.",
keywords = "Continuous spectrum, Cusp, Peak, Spike, System of elasticity equations",
author = "Bakharev, {F. L.} and Nazarov, {S. A.}",
year = "2009",
month = oct,
day = "19",
doi = "10.1007/s11202-009-0065-9",
language = "English",
volume = "50",
pages = "587--595",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - On the structure of the spectrum for the elasticity problem in a body with a supersharp spike

AU - Bakharev, F. L.

AU - Nazarov, S. A.

PY - 2009/10/19

Y1 - 2009/10/19

N2 - We establish that the continuous spectrum of the Neumann problem for the system of elasticity equations occupies the entire closed positive real semiaxis in the case that a three-dimensional body with a sharp-spiked cusp whose cross-section contracts to a point with the velocity O(r1+γ), where r is the distance to the vertex of the spike and γ > 1 is the sharpness exponent.

AB - We establish that the continuous spectrum of the Neumann problem for the system of elasticity equations occupies the entire closed positive real semiaxis in the case that a three-dimensional body with a sharp-spiked cusp whose cross-section contracts to a point with the velocity O(r1+γ), where r is the distance to the vertex of the spike and γ > 1 is the sharpness exponent.

KW - Continuous spectrum

KW - Cusp

KW - Peak

KW - Spike

KW - System of elasticity equations

UR - http://www.scopus.com/inward/record.url?scp=70349975614&partnerID=8YFLogxK

U2 - 10.1007/s11202-009-0065-9

DO - 10.1007/s11202-009-0065-9

M3 - Article

AN - SCOPUS:70349975614

VL - 50

SP - 587

EP - 595

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 34905823