Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation

Laneev E. B.

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Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation

机译：基于Tikhonov规则化方法在LAPLACE方程中的不良问题中的构建

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摘要

Based on the Tikhonov regularization method, we explicitly construct a Carleman function in an ill-posed mixed problem for the Laplace equation.

机译：基于Tikhonov规则化方法，我们在Laplace方程中明确地构建了一个在一个不良混合问题中的Carleman功能。

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《Differential equations: A translation of differensial'nye uraveniya》 |2018年第4期|共10页
作者
Laneev E. B.;
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Peoples Friendship Univ Russia Moscow 117198 Russia;

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正文语种 eng
中图分类微分方程、积分方程;
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1. Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation [J] . Laneev E. B. Differential equations: A translation of differensial'nye uraveniya . 2018,第4期

机译：基于Tikhonov规则化方法在LAPLACE方程中的不良问题中的构建
2. A fast multiscale Galerkin method for the first kind ill-posed integral equations via Tikhonov regularization [J] . Zhongying Chen, Sirui Cheng, Gnaneshwar Nelakanti, International journal of computer mathematics . 2010,第1a3期

机译：Tikhonov正则化快速求解第一类不适定积分方程的多尺度Galerkin方法
3. A MODIFIED TIKHONOV REGULARIZATION METHOD FOR THE CAUCHY PROBLEM OF LAPLACE EQUATION [J] . Fan YANG, Chuli FU, Xiaoxiao LI 数学物理学报（英文版） . 2015,第006期

机译：求解Laplace方程Cauchy问题的修正的Tikhonov正则化方法。
4. Comparison of Tikhonov regularization and Adaptive regularization for ill-posed problems [C] . Wen Dong, Tao Sun National Conference for Engineering Sciences . 2012

机译：不适定问题的Tikhonov正则化和自适应正则化比较
5. A “Divide and Conquer” Approach to Estimating Tikhonov Regularization Parameter Via Leave-One-Out Cross-Validation for Function-On-Function Regression [D] . Wang, Yichuan. 2020

机译：通过休假逐个函数回归估算Tikhonov正规化参数的“分割和征服”方法
6. Evaluating the impact of spatio-temporal smoothness constraints on the BOLD hemodynamic response function estimation: an analysis based on Tikhonov regularization [O] . R Casanova, L Yang, W D Hairston, -1

机译：评估时空平滑度约束对大胆血液动力响应函数估计的影响：基于Tikhonov规范的分析
7. ON THE MODIFIED TIKHONOV’S REGULARIZATION METHOD FOR THE CAUCHY PROBLEM OF THE LAPLACE EQUATION [O] . 2013

机译：关于LapLaCE方程Cauchy问题的改进TIKHONOV正则化方法

Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation

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