Long-time behaviour of the solutions to inverse problems for parabolic equations
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摘要
We study long-time behaviour as t → ∞ of the solutions of the inverse problem for parabolic equation with an unknown source function. The overdetermination condition is given in integral form. Under some conditions, the stabilization of H1-norm of solutions is established.
论文关键词:Inverse problem,Long-time behaviour,Integral overdetermination,Parabolic equation
论文评审过程:Available online 1 August 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2006.06.066