二维椭圆型偏微分方程的反势问题

Inverse potential problem of two-dimensional elliptic partial differential equations

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摘要将Radon变换及其反投影变换原理应用于二维椭圆型偏微分方程反势问题的求解,从另一个角度解决了小扰动情况下椭圆型偏微分方程的反势问题. This paper gives a way to solve the two\|dimensional inverse potential problem of elliptic partial differential equations for small perturbation with the help of Radon transform.

作者郑晓势张玉海亓桂明

机构地区山东省计算中心

出处《高校应用数学学报（A辑）》 CSCD 北大核心 2003年第3期273-280,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)

基金山东省自然基金(Y99G03)

关键词椭圆型偏微分方程拉顿(Radon)变换反势问题反源问题 elliptic partial differential equation,Radon transform,inverse potential problem,inverse source problem

分类号 O175.25 [理学—基础数学]

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1郑晓势,张玉海.二维椭圆型偏微分方程的反源问题[J].山东大学学报（理学版）,2001,36(4):394-399. 被引量：1
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5王红艳,马富明.二维圆域中Poisson方程反源问题的数值方法[J].吉林大学学报（理学版）,2010,48(2):214-218. 被引量：2
6Wenyan WANG,Masahiro YAMAMOTO,Bo HAN.Two-Dimensional Parabolic Inverse Source Problem with Final Overdetermination in Reproducing Kernel Space[J].Chinese Annals of Mathematics,Series B,2014,35(3):469-482.
7王红艳,马富明.MEG反源问题的一种数值方法[J].高等学校计算数学学报,2012,34(3):238-251.
8顾智杰,谭永基.Fundamental solution method for inverse source problem of plate equation[J].Applied Mathematics and Mechanics(English Edition),2012,33(12):1513-1532.

高校应用数学学报（A辑）

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二维椭圆型偏微分方程的反势问题

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