Singular perturbation of first boundary value problem for higher order elliptic equations. II (Q580575)
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scientific article; zbMATH DE number 4017436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular perturbation of first boundary value problem for higher order elliptic equations. II |
scientific article; zbMATH DE number 4017436 |
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Singular perturbation of first boundary value problem for higher order elliptic equations. II (English)
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1981
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[For part I, cf. Trans. Fukien Teachers' Univ. 1, 9-22 (1980) (in Chinese).] We discuss singular perturbations of a first boundary value problem for higher order elliptic equations with two parameters and obtain the asymptotic expression for the formal solution containing two-parameters as well as the estimates of its remainder term. These results are the extensions of the ones by \textit{M. I. Vishik} and \textit{L. A. Lyusternik} [Usp. Mat. Nauk 12, No.5(77), 3-122 (1957; Zbl 0087.296)].
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singular perturbations
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first boundary value problem
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two parameters
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asymptotic expression
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formal solution
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estimates
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remainder term
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