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2008 Lp Spectral Radius Estimates for the Lamé System on an Infinite Sector
Tomas Johnson
Experiment. Math. 17(3): 333-339 (2008).

Abstract

We prove, using interval analysis methods, that the L2, L4, and L8 spectral radii of the traction double layer potential operator associated with the Lam\'e system on an infinite sector in Extra close brace or missing open brace are within 2.5x103, 102, and 102, respectively, from a certain conjectured value that depends explicitly on the aperture of the sector and the Lamé moduli of the system. We also indicate how to extend these results to Lp for entire intervals of p, p2.

Citation

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Tomas Johnson. "Lp Spectral Radius Estimates for the Lamé System on an Infinite Sector." Experiment. Math. 17 (3) 333 - 339, 2008.

Information

Published: 2008
First available in Project Euclid: 19 November 2008

zbMATH: 1161.35364
MathSciNet: MR2455704

Subjects:
Primary: 35J25 , 47-04
Secondary: 45E05 , 65G20

Keywords: computer-aided proof , interval analysis , Lamé system , spectral radius , traction conormal derivative

Rights: Copyright © 2008 A K Peters, Ltd.

Vol.17 • No. 3 • 2008
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