Identification of the Memory Kernels and Controllability for Parabolic Equations
Keywords:
Controllability, Observability, Memory kernels, Carleman EstimateAbstract
This paper deals with the controllability and observability properties of the mathematical models models (describing systems with thermal memory) consisting of boundary value problems of parabolic type, where the differential equation contains additional integralexpressions including ``memory functions" which describe the
memory property of the material. The proof of controllability
relies on a Carleman type estimate and duality arguments.
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Published
2010-04-09
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Section
Differential Equations
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How to Cite
Identification of the Memory Kernels and Controllability for Parabolic Equations. (2010). European Journal of Pure and Applied Mathematics, 3(2), 235-253. https://www.ejpam.com/index.php/ejpam/article/view/371