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Exact controllability of thermoelastic plate equation with memory

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In this paper, we consider exact control problem for a coupled system of plate with Gurtin‐Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability… Click to show full abstract

In this paper, we consider exact control problem for a coupled system of plate with Gurtin‐Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability estimates for the dual system. Firstly, we obtain the observability inequality of the dual system by means of multiplier method. Then, we prove that the system is exactly controllable based on the Hilbert Unique Method.

Keywords: system; plate; equation; controllability thermoelastic; exact controllability; thermoelastic plate

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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