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October 2007 Boundary decay estimates for solutions of fourth-order elliptic equations
Gerassimos Barbatis
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Ark. Mat. 45(2): 197-219 (October 2007). DOI: 10.1007/s11512-007-0048-7

Abstract

We obtain integral boundary decay estimates for solutions of fourth-order elliptic equations on a bounded domain with regular boundary. We apply these estimates to obtain stability bounds for the corresponding eigenvalues under small perturbations of the boundary.

Citation

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Gerassimos Barbatis. "Boundary decay estimates for solutions of fourth-order elliptic equations." Ark. Mat. 45 (2) 197 - 219, October 2007. https://doi.org/10.1007/s11512-007-0048-7

Information

Received: 29 March 2006; Published: October 2007
First available in Project Euclid: 31 January 2017

zbMATH: 1158.35026
MathSciNet: MR2342600
Digital Object Identifier: 10.1007/s11512-007-0048-7

Rights: 2007 © Institut Mittag-Leffler

Vol.45 • No. 2 • October 2007
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