Regularity and identification for an integrodifferential one-dimensional hyperbolic equation (Q2268313)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity and identification for an integrodifferential one-dimensional hyperbolic equation |
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Regularity and identification for an integrodifferential one-dimensional hyperbolic equation (English)
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10 March 2010
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This paper deals with two problems related to an hyperbolic integro-differential equation. Herein the authors use a different method to prove time and space regularity as well as sharp estimates with explicit dependence on the kernel. The main result of the paper is the existence in the large of a unique solution \(W\) to the inverse problems detailed in the paper with a (possibly) discontinuous kernel.
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linear hyperbolic integro-differential equations
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existence
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uniqueness
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recovering an unknown kernel
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linear second-order integro-differential equations in Banach spaces
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Hille-Yosida semigroups
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inverse problems
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discontinuous kernel
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