On a hyperbolic equation of high order in a Banach space (Q1198683)
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scientific article; zbMATH DE number 90488
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a hyperbolic equation of high order in a Banach space |
scientific article; zbMATH DE number 90488 |
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On a hyperbolic equation of high order in a Banach space (English)
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16 January 1993
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A Cauchy problem for an abstract hyperbolic equation which generalizes an equation modeling the propagation of time-dependent acoustic waves, is investigated. Existence and uniqueness of the solution of the Cauchy problem are established using techniques involving strongly continuous cosine operator functions.
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Cauchy problem
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abstract hyperbolic equation
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propagation of time- dependent acoustic waves
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strongly continuous cosine operator functions
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