On noncompact Hammerstein integral equations and a nonlinear boundary value problem for the heat equation (Q1188398)
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scientific article; zbMATH DE number 40578
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On noncompact Hammerstein integral equations and a nonlinear boundary value problem for the heat equation |
scientific article; zbMATH DE number 40578 |
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On noncompact Hammerstein integral equations and a nonlinear boundary value problem for the heat equation (English)
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13 August 1992
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The author studies the solvability of noncompact Hammerstein integral equations of Volterra and Wiener-Hopf types. He obtains the \(L^ \infty\)-theory from the known \(L^ 2\)-theory by using a result related to Hadamard's theorem. Finally he solves a boundary value problem for the heat equation in a half plane with nonlinear radiation on the boundary.
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nonlinear boundary value problem
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Volterra equation
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Wiener-Hopf equation
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noncompact Hammerstein integral
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heat equation
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0.93600774
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0.9355366
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0.9243476
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0.9168112
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