Investigation Methods for Inverse Problems
Investigation Methods for Inverse Problems
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反问题的研究方法
DOI：
10.1515/9783110943849
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
V. Romanov
中科院分区：
文献类型：
--
作者：
V. Romanov
第一一维逆运动学问题弦的逆动力学问题分层介质的逆问题射线反问题的陈述反问题的提出反问题的渐近展开反问题的唯一性定理与局部非均匀性有关的反问题某些反问题的局部可解性解析函数的Banach空间确定低阶项系数确定声速正则化求解反问题的方法单次测量的反问题确定最低项系数确定一阶导数下的系数确定波动方程中的声速点源情况下与输运方程的反问题相关的稳定性估计确定松弛和内部源密度的问题确定色散指数问题中的稳定性估计二维弛豫问题是确定色散指数和三维弛豫的问题。
One-dimensional inverse kinematics problem inverse dynamical problem for a string inverse problems for a layered medium ray statements of inverse problems posing of the inverse problems asymptotic expansion uniqueness theorems for the inverse problem inverse problems related to a local heterogeneity local solvability of some inverse problems banach's spaces of analytic functions determining coefficients of the lower terms determining the speed of the sound a regularization method for solving an inverse problem inverse problems with single measurements determining coefficient of the lowest term determining coefficients under first derivatives determining the speed of sound in the wave equation case of a point source stability estimates related to inverse problems for the transport equation the problem of determining the relaxation and a density of inner sources a stability estimate in the problem of determining the dispersion index and relaxation in 2D the problem of determining the dispersion index and relaxation in 3D.