Asymptotic behavior of a semilinear problem in heat conduction with memory (Q1265570)
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scientific article; zbMATH DE number 1203921
| Language | Label | Description | Also known as |
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| English | Asymptotic behavior of a semilinear problem in heat conduction with memory |
scientific article; zbMATH DE number 1203921 |
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Asymptotic behavior of a semilinear problem in heat conduction with memory (English)
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25 May 1999
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The authors investigate the existence, uniqueness, and asymptotic properties of solutions to a Volterra integro-differential equation arising in the mathematical modeling of heat flow in materials with memory. The existence-uniqueness theory is developed with the help of a Faedo-Galerkin scheme. The key result in the study of long time behavior of solutions is a theorem establishing the existence of absorbing sets in a suitable weighted Hilbert space.
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asymptotic
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Volterra integro-differential equation
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heat flow
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materials with memory
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Faedo-Galerkin scheme
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long time behavior
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