Exact-Approximate Controllability of the Abstract Thermoelasticity of Type I

Abstract

In this paper, the author considers a general control problem about the system of thermoelasticity of type I. By introducing some unique continuation property of the corresponding adjoint system and a suitable observability inequality for an elastic equation, using compact decoupling technique and variational approach, the exact-approximate controllability of the abstract thermoelasticity of type I is obtained. Finally, the author applies her abstract result to the exact-approximate controllability of the linear system of thermoelasticity.

Keywords

Thermoelasticity / Exact-approximate controllability / Compact decoupling / 93B07 / 93B05

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