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arxiv: math/0404529 · v6 · submitted 2004-04-29 · 🧮 math.SP · math.AP

Boundary decay estimates for solutions of fourth-order elliptic equations

classification 🧮 math.SP math.AP
keywords boundaryestimatesdecayellipticequationsfourth-orderobtainsolutions
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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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