On a family of nonzero solutions to the heat equation \(u_t=\Delta u\) on \(\mathbb{R}^{n+1}\) which vanish on an arbitrary \(n\)-dimensional hyperplane \(P\subset\mathbb{R}^{n+1}\) (Q6563072)
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scientific article; zbMATH DE number 7872371
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a family of nonzero solutions to the heat equation \(u_t=\Delta u\) on \(\mathbb{R}^{n+1}\) which vanish on an arbitrary \(n\)-dimensional hyperplane \(P\subset\mathbb{R}^{n+1}\) |
scientific article; zbMATH DE number 7872371 |
Statements
On a family of nonzero solutions to the heat equation \(u_t=\Delta u\) on \(\mathbb{R}^{n+1}\) which vanish on an arbitrary \(n\)-dimensional hyperplane \(P\subset\mathbb{R}^{n+1}\) (English)
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27 June 2024
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heat equation
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Cauchy problem with zero initial data
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Rosenbloom-Widder solution
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Tychonoff solution
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