Differential equations on Lie groups and tori, the wave equations and Huygens' principle (Q1067019)
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scientific article; zbMATH DE number 3927252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential equations on Lie groups and tori, the wave equations and Huygens' principle |
scientific article; zbMATH DE number 3927252 |
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Differential equations on Lie groups and tori, the wave equations and Huygens' principle (English)
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1984
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This note shows how a differential equation on a compact Lie group may be transferred to another equation on the maximal torus. Then the method is applied to wave equations. This makes easy to prove the non-existence of Huyghens' principle for the wave equations and its existence for the shifted Laplacian in odd dimensional spaces.
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differential equation
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compact Lie group
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maximal torus
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wave equations
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Huyghens' principle
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shifted Laplacian
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