Identifying a \(BV\)-kernel in a hyperbolic integrodifferential equation (Q939282)
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scientific article; zbMATH DE number 5315197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identifying a \(BV\)-kernel in a hyperbolic integrodifferential equation |
scientific article; zbMATH DE number 5315197 |
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Identifying a \(BV\)-kernel in a hyperbolic integrodifferential equation (English)
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22 August 2008
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The aim of this paper is to determine an unknown convolution kernel of a second order (in time) integro-differential equation related to a Banach space. Under suitable assumptions on the data the author proves the global existence and uniqueness of a solution. An application is given, in the framework of \(L^2\)-spaces, to the case of a hyperbolic second-order linear integro-differential equation endowed with initial and Dirichlet boundary conditions.
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second-order linear integro-differential equation
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Dirichlet boundary problem
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inverse problem
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Banach space
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recovering a scalar unknown convolution kernel
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hyperbolic linear integro-differential equations
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0.90890664
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0.8789451
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0.8737657
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0.8734719
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