Nonlinear heat equation with \(L^1\)-data (Q1272329)
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scientific article; zbMATH DE number 1233885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear heat equation with \(L^1\)-data |
scientific article; zbMATH DE number 1233885 |
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Nonlinear heat equation with \(L^1\)-data (English)
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29 September 1999
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The author is concerned with Newton's type boundary problems for a nonlinear heat equation in \(L^1(\Omega)\). Existence, and continuous dependence of the integral solution on the data are investigated. The key fact here is the accretivity of the stationary part \(-\Delta \beta+\alpha\) in \(L^1(\Omega) \times L^1(\Gamma)\).
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existence
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Newton's type boundary problems
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continuous dependence
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