The Cauchy problem for non-effectively hyperbolic differential operators and their product (Q750746)

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scientific article; zbMATH DE number 4175560
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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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