Completeness Theorems for Elliptic Equations of Higher Order with Constant Coefficients
Keyword(s):
Abstract Let {ω𝑘 } be a complete system of polynomial solutions of the elliptic equation ∑|α|⩽2𝑚 aα 𝐷 α 𝑢 = 0, aα being real constants. We give necessary and sufficient conditions for the completeness of the system in [𝐿𝑝(∂Ω)]𝑚, where Ω ⊂ is a bounded domain such that is connected and ∂Ω ∈ 𝐶1.
2012 ◽
Vol 10
(01)
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pp. 1-20
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1986 ◽
Vol 102
(3-4)
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pp. 327-343
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1993 ◽
Vol 114
(1)
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pp. 111-130
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