Uniqueness of solutions to the initial-value problem for partial differential equations with multiple characteristics (Q1064460)
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scientific article; zbMATH DE number 3918885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of solutions to the initial-value problem for partial differential equations with multiple characteristics |
scientific article; zbMATH DE number 3918885 |
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Uniqueness of solutions to the initial-value problem for partial differential equations with multiple characteristics (English)
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1985
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The author continues his investigations on the uniqueness of solutions to the Cauchy problem for partial differential operators with multiple characteristics [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 7, 257- 285 (1980; Zbl 0478.35006)]. Assuming that the multiplicity of the characteristics is constant he shows that uniqueness can be proved without having to put a condition on the subprincipal symbol at doubly characteristic elliptic points. The proof is based on a Carleman estimate.
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uniqueness
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Cauchy problem
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multiple characteristics
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subprincipal symbol
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doubly characteristic elliptic points
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Carleman estimate
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