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高维Helmholtz方程柯西问题的磨光化方法

Journal of Northwest Normal University(Natural Science)(2017)

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Abstract
使用磨光化方法研究了固定频率下一类高维Helmholtz方程的柯西问题,该问题是一类解不连续依赖于测量数据的严重不适定的反问题,得到并解决了正则化近似解与精确解之间的收敛性误差估计.
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Key words
ill-posed problem,regularization,Cauchy problem for the Helmholtz equation,mollification method
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