Sobolev multipliers in the \(L_p\) theory of boundary integral equations of elasticity on non-smooth surfaces (Q2712807)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev multipliers in the \(L_p\) theory of boundary integral equations of elasticity on non-smooth surfaces |
scientific article |
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6 May 2001
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Maz'ya method
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elastic potentials
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non-smooth surfaces
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Sobolev multipliers
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unique solvability
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regularity
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Sobolev spaces
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singular integral equations
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boundary integral equation
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Sobolev multipliers in the \(L_p\) theory of boundary integral equations of elasticity on non-smooth surfaces (English)
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The paper deals with boundary integral equations generated by elastic potentials with densities defined on non-smooth surfaces which are described in terms of Sobolev multipliers. The author gives some theorems on unique solvability and regularity of solutions in Sobolev spaces. The existing theory for such singular integral equations in yet not well developed. Here the author uses an approach proposed by V. Maz'ya which reduces the study of boundary integral equation to that of certain auxiliary boundary value problems for partial differential equations.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00046].
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