Poincaré-Steklov integral equations and the Riemann monodromy problem (Q1580163)
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scientific article; zbMATH DE number 1505723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré-Steklov integral equations and the Riemann monodromy problem |
scientific article; zbMATH DE number 1505723 |
Statements
Poincaré-Steklov integral equations and the Riemann monodromy problem (English)
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18 January 2001
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The author considers the Poincaré-Steklov singular integral equation obtained by reducing a boundary value problem for the Laplace operator with a spectral parameter in the boundary condition to the boundary. He proves that the equation can be restated equivalently in terms of the classical Riemann monodromy problem. Several equations of this type are solved in elliptic functions.
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conformal mapping
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Poincaré-Steklov singular integral equation
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boundary value problem
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Laplace operator
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Riemann monodromy problem
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