Heriot-Watt Mathematics Report Series
HWM98-29, 20 Aug 1998

Spectral Problems for the Lamé System with Spectral Parameter in Boundary Conditions on Smooth or Non-Smooth Boundary

M S Agranovich, B A Amosov and M Levitin


Abstract

The paper is devoted to four spectral problems for the Lamé system of linear elasticity in domains of $\mathbb{R}^3$ with compact connected boundary $S$. The frequency is fixed in the upper closed half-plane; the spectral parameter enters into the boundary or transmission conditions on $S$. Two cases are investigated: 1) $S$ is $C^\infty$; 2) $S$ is Lipschitz.

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Full text: http://www.ma.hw.ac.uk/~levitin/lame.pdf


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