Open Access
April, 2003 Complex analysis of elastic symbols and construction of plane wave solutions in the half-space
Mishio KAWASHITA, James RALSTON, Hideo SOGA
J. Math. Soc. Japan 55(2): 395-404 (April, 2003). DOI: 10.2969/jmsj/1191419123

Abstract

We examine plane waves of the elastic reduced wave equation in the half-space, and by linear combinations of them we construct the solution coinciding with any plane wave on the boundary. In the (dual) variable in the normal direction to the boundary, we apply the complex analysis to the inverse matrix of the elastic symbol.

Citation

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Mishio KAWASHITA. James RALSTON. Hideo SOGA. "Complex analysis of elastic symbols and construction of plane wave solutions in the half-space." J. Math. Soc. Japan 55 (2) 395 - 404, April, 2003. https://doi.org/10.2969/jmsj/1191419123

Information

Published: April, 2003
First available in Project Euclid: 3 October 2007

zbMATH: 1031.35144
MathSciNet: MR1961293
Digital Object Identifier: 10.2969/jmsj/1191419123

Subjects:
Primary: 74J05
Secondary: 35C99

Keywords: Elastic equations , plane waves

Rights: Copyright © 2003 Mathematical Society of Japan

Vol.55 • No. 2 • April, 2003
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