Riesz systems and controllability of heat equations with memory (Q1035226)

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scientific article; zbMATH DE number 5624102
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Riesz systems and controllability of heat equations with memory
scientific article; zbMATH DE number 5624102

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    Riesz systems and controllability of heat equations with memory (English)
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    2 November 2009
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    The author shows that a particular set of functions related to the controllability of the heat equation with memory and finite signal speed with a suitable kernel is a Riesz system. Usually Riesz systems are used in applied mathematics for solving inverse problems. The proof provides a real construction of the control which steers the initial datum to the prescribed target.
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    heat equation with memory
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    controllability
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    moment problem
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