On the linearization of the Satsuma-Mimura diffusion equation in the spatial periodic case (Q1188382)
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scientific article; zbMATH DE number 40552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the linearization of the Satsuma-Mimura diffusion equation in the spatial periodic case |
scientific article; zbMATH DE number 40552 |
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On the linearization of the Satsuma-Mimura diffusion equation in the spatial periodic case (English)
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13 August 1992
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Summary: For the solution of the diffusion equation of Satsuma and Mimura in the spatially periodic case general formulae are given. Furthermore some simple criteria for existence and non-existence of the solution for all times are derived and illustrated by examples.
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Cauchy problem
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complex analogue of the Hopf-Cole transformation
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spatially periodic case
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criteria for existence
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non-existence
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