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Boundary decay estimates for solutions of fourth-order elliptic equations

G. Barbatis
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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.

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G. Barbatis. 2007-01-08. Boundary decay estimates for solutions of fourth-order elliptic equations. https://arxiv.org/abs/math/0404529

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