On the steady state of the heat conduction on a Riemannian symmetric space (Q5903864)
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scientific article; zbMATH DE number 4086136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the steady state of the heat conduction on a Riemannian symmetric space |
scientific article; zbMATH DE number 4086136 |
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On the steady state of the heat conduction on a Riemannian symmetric space (English)
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1988
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We consider the heat conduction on a Riemannian symmetric space of the noncompact type. We assume that the symmetric space X is embedded in the Oshima compactification \(\tilde X\) and that the initial value has a limit along the Martin boundary of X. Under these assumptions we show that the steady state of the heat conduction is a harmonic function which is given by the Poisson integral of the initial value along the Martin boundary.
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heat conduction
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Riemannian symmetric space
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Oshima compactification
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initial value
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Martin boundary
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steady state
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harmonic function
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Poisson integral
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