Finding the Coefficients of a Linear Elliptic Equation

R. A. Aliev

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Finding the Coefficients of a Linear Elliptic Equation

机译：求线性椭圆方程的系数

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摘要

We study the inverse problems of finding the coefficients of a linear elliptic equation for various boundary conditions in a prescribed rectangle. The existence, uniqueness, and stability theorems are proved for solutions to the inverse problems for the particular statements under study in the paper. An iterative method is employed to construct a regularization algorithm for solving the inverse problems.

机译：我们研究在指定矩形中针对各种边界条件寻找线性椭圆方程系数的反问题。证明了存在性，唯一性和稳定性定理可以解决本文所研究的特定陈述的反问题。采用迭代的方法来构造用于解决反问题的正则化算法。

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《Journal of applied and industrial mathematics》 |2016年第2期|共11页
作者
R. A. Aliev;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
inversion problem; elliptic equation;

机译：反演问题;椭圆方程;

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专利

1. Finding the Coefficients of a Linear Elliptic Equation [J] . R. A. Aliev Journal of applied and industrial mathematics . 2016,第2期

机译：求线性椭圆方程的系数
2. Linear and nonlinear abstract elliptic equations with VMO coefficients and applications [J] . Veli B Shakhmurov Fixexd point theory and applications . 2013,第1期

机译：具有VMO系数的线性和非线性抽象椭圆方程及其应用
3. C-0 finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients [J] . Wu Shuonan Calcolo . 2021,第1期

机译：具有绳索系数的非发散形式和哈密尔顿 - Jacobi-Bellman方程的线性椭圆方程的C-0有限元近似
4. An Iterative Process for the Solution of Semi-Linear Elliptic Equations with Discontinuous Coefficients and Solution [C] . Aigul Manapova International conference on large-scale scientific computing . 2015

机译：具有不连续系数的半线性椭圆方程组的求解的迭代过程和解
5. On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients [D] . Li, Xu. 2013

机译：VMO系数在域中的完全非线性椭圆形和抛物线方程
6. The Dirichlet Problem for Linear Elliptic Equations of Arbitrary Even Order with Variable Coefficients [O] . Felix E. Browder 1952

机译：变系数任意偶数线性椭圆方程的Dirichlet问题。
7. Linear and nonlinear abstract elliptic equations with VMO coefficients and applications [O] . Veli B Shakhmurov 2013

机译：具有VMO系数的线性和非线性抽象椭圆方程及其应用
8. Fully Nonlinear Second Order Elliptic Equations with Large Zeroth Order Coefficient [R] . Evans, L. C., Lions, P. L. 1980

机译：具有大零阶系数的全非线性二阶椭圆方程

Finding the Coefficients of a Linear Elliptic Equation

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