The Cauchy problem for non-effectively hyperbolic differential operators and their product (Q750746)
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scientific article; zbMATH DE number 4175560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem for non-effectively hyperbolic differential operators and their product |
scientific article; zbMATH DE number 4175560 |
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The Cauchy problem for non-effectively hyperbolic differential operators and their product (English)
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1989
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The author considers the Cauchy problem for a hyperbolic differential operator with variable multiplicity. The author gives some sufficient conditions for these problems to be well-posed. First the author studies quasi-homogeneous operators which commute with translation in the time direction and obtains a necessary condition for this operator to be well- posed. For a special type of operators it is shown that this condition is sufficient.
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Cauchy problem
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variable multiplicity
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well-posed
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