Singular integral equations with monotone nonlinearity in complex Lebesgue spaces (Q1203055)
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scientific article; zbMATH DE number 110384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular integral equations with monotone nonlinearity in complex Lebesgue spaces |
scientific article; zbMATH DE number 110384 |
Statements
Singular integral equations with monotone nonlinearity in complex Lebesgue spaces (English)
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4 February 1993
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The technique associated with monotone, hemicontinuous, coercive and bounded operators is used in order to obtain a few existence and uniqueness theorems for the Hammerstein singular integral equations. The considerations are placed in weighted complex Lebesgue spaces. Some estimates of the norm of solutions are also obtained.
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singular operators
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nonlinear singular integral equations
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method of monotone operators
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monotone, hemicontinuous, coercive and bounded operators
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existence
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uniqueness
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Hammerstein singular integral equations
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weighted complex Lebesgue spaces
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estimates of the norm
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