Identification of the Memory Kernels and Controllability for Parabolic Equations

Lavanya Gopal

Abstract

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 integral
expressions including ``memory functions" which describe the
memory property of the material. The proof of controllability
relies on a Carleman type estimate and duality arguments.

Keywords

Controllability, Observability, Memory kernels, Carleman Estimate

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