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<p>The aim of the present work is to study a source identification problem for the parabolic equation with a nonlocal integral condition. We give stability estimates for the solution of the source identification problem. Later, we apply the obtained result to study a parabolic partial differential equation with an unknown source and nonlocal conditions.</p>

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PARABOLIC SOURCE IDENTIFICATION PROBLEM WITH INTEGRAL CONDITION

  • 期刊论文

  • 发表日期：

    2025年4月29日

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  • Charyyar Ashyralyyev

摘要

The aim of the present work is to study a source identification problem for the parabolic equation with a nonlocal integral condition. We give stability estimates for the solution of the source identification problem. Later, we apply the obtained result to study a parabolic partial differential equation with an unknown source and nonlocal conditions.