Exact-Approximate Controllability of the Abstract Thermoelasticity of Type I
Citation:
Dongli LI.Exact-Approximate Controllability of the Abstract Thermoelasticity of Type I[J].Chinese Annals of Mathematics B,2025,46(4):547~558
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Authors:
Dongli LI;
Abstract:
In this paper; the author considers a general control problem about the systemof thermoelasticity of type I. By introducing some unique continuation property of thecorresponding adjoint system and a suitable observability inequality for an elastic equation; using compact decoupling technique and variational approach; the exact-approximatecontrollability of the abstract thermoelasticity of type I is obtained. Finally; the authorapplies her abstract result to the exact-approximate controllability of the linear system ofthermoelasticity