Inverse theorems of approximation by biharmonic functions (Q1113329)

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scientific article; zbMATH DE number 4081939
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Inverse theorems of approximation by biharmonic functions
scientific article; zbMATH DE number 4081939

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    Inverse theorems of approximation by biharmonic functions (English)
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    1986
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    The authors study inverse and ill-posed problems for the biharmonic equation \(\Delta^ 2u=0\) in both the unit circle \(x^ 2+y^ 2<1\) and the half-plane \(y>0\). The paper builds on a previous paper of the first author [Inverse theorems of approximation by biharmonic functions (Russian), Mat. Fiz. 19, 73-78 (1976); see also the first author, Ukr. Math. J. 38, 266-271 (1986); translation from Ukr. Mat. Zh. 38, No.3, 309-314 (1984; Zbl 0621.31001)].
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    inverse
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    ill-posed
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    biharmonic
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