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Boundary decay estimates for solutions of fourth-order elliptic equations

Research paper by G. Barbatis

Indexed on: 08 Jan '07Published on: 08 Jan '07Published in: Mathematics - Spectral Theory



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.