The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains (Q1766547)
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scientific article; zbMATH DE number 2141635
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains |
scientific article; zbMATH DE number 2141635 |
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The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains (English)
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8 March 2005
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The paper studies the \(L^p\) Neumann problem for the heat equation when \(1<p<2\) in a time varying domain. It is proved a unique solvability of the problem under certain conditions on the domain. It is shown that this result is best possible.
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time varying domain
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single layer heat potential
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\(1<p<2\)
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