Continuation of bicharacteristics for effectively hyperbolic operators (Q5899830)
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scientific article; zbMATH DE number 4150747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuation of bicharacteristics for effectively hyperbolic operators |
scientific article; zbMATH DE number 4150747 |
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Continuation of bicharacteristics for effectively hyperbolic operators (English)
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1989
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Existence and smooth or analytic continuation of two pairs of bicharacteristics is established for effectively hyperbolic differential or pseudodiffential operators. The proof is elementary and relies on a symplectic change of coordinates together with an old result by Briot and Bouquet for a related singular initial value problem.
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hyperbolic differential operator
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Cauchy problem
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effective hyperbolicity
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bicharacteristics
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pseudodiffential operators
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