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<p>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.</p>

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Exact-Approximate Controllability of the Abstract Thermoelasticity of Type I

  • 期刊论文

  • 发表日期：

    2025年7月28日

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  • Dongli Li

摘要

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.