Inverse potential problem of two-dimensional elliptic partial differential equations;
二维椭圆型偏微分方程的反势问题
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
研究一类最优控制问题的求解方法,其状态变量是某一种椭圆型偏微分方程的弱解。
The inverse problem of elliptic partial differential equation in the permeability field is discussed,whose permeability coefficient is nearly uniform.
研究了在渗透系数相差不大的渗流场中椭圆型偏微分方程的系数反问题 ,通过把CT技术中的Radon变换推广到渗流力学中 ,给出了渗透系数的计算方法和实
This paper gives a way to solve the inverse source problem of elliptic partial differential equations in two-dimensional cases with the help of Radon transform.
将Radon变换及其反投影变换原理应用于二维椭圆型微分方程反源问题的求解 ,从另一个角度解决了椭圆型偏微分方程的反源问
This paper presents a kind of finite volume element scheme for two-dimensional second order elliptic partial differential equations with Dirichlet boundary condition and we prove that the scheme has second order convergence accuracy with respect to discrete energy norm.
针对二维二阶椭圆型偏微分方程边值问题提出了一种新型的有限体积元格式,证明了该格式按离散能量模具有二阶收敛精度,具体算例表明,该格式计算效果良好。
under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.
利用极小极大原理 ,在共振条件下 ,证明了一个半线性椭圆偏微分方程 Direchlet边值问题广义解的存在唯一性定理 ,从而推广了已知的一些结果 。
The paper discusses the regularity of solution of the mixed boundary value problem for elliptic partial differential equations on a rectangular parallelepiped by a priori estimate method, gives results about some additoinal regularity properties.
利用先验估计方法，讨论长方体上椭圆偏微分方程混杂问题解的正则性，给出有关某些附加正则性的结果。
The Positive Entire Solution of Nonlinear Elliptic Partial Differential Equations;
非线性椭圆型偏微分方程的全局正解
Meshless Methods for Some Inverse Problems Associated with Elliptic Partial Differential Equations;
一类椭圆型偏微分方程反问题的无网格方法
Squeeze Theorem and the Upper and Lower Solutions of Defferential Equation
夹逼准则与椭圆型偏微分方程的上下解方法
The Mrm-Bem Analysis of a Kind of Elliptic Partial Differential Equation Boundary Value Problem
一类椭圆型偏微分方程边值问题的MRM-BEM分析
Bounded Positive Entire Solutions of Semilinear Elliptic Partial Differential Equations;
半线性椭圆型偏微分方程的全局有界正解
Some Second Order Elliptic Partial Differential Equations on Unbounded Domain;
某些无界区域上的二阶椭圆型偏微分方程
Some Semilinear Elliptic Equations without Compactness;
某些不具紧性的二阶椭圆型偏微分方程
One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation
一类二阶椭圆型偏微分方程解的先验估计
Incremental Unknowns Methods on Floated Grid for Solving Linear Elliptic PDEs
漂移网格上增量未知元方法求解椭圆型偏微分方程
Global Uniqueness for a Semilinear Elliptic Inverse Problem;
半线性椭圆型偏微分方程反问题解的整体惟一性
The Sole Solution to the Semi-linear Elliptic Direct Problem;
半线性椭圆型偏微分方程正问题解的存在惟一性
The Existence of Solution for Two Elliptic Partial Differential Equations
两类椭圆偏微分方程解的存在性问题
The Jacobi Elliptic Function Solutions for Several Nonlinear Partial Differential Equations;
几种非线性偏微分方程的Jacobi椭圆函数解
Maximum Pinciples of Alexandrov Type for A class of Fourth-order Elliptic Differential Equations;
一类四阶椭圆型微分方程的Alexandrov型极值原理
The R-DR-D~2R-H-DH-D~2H Compound Boundary Value Problem for Elliptic Partical Differential Equation System of First Order;
一阶线性椭圆型偏微方程组的R-DR-D~2R-H-DH-D~2H复合边值问题
Multiple Sign Changing Solutions for Some Nonlinear Elliptic Partial Differential Equations in R～N;
R～N上某些非线性椭圆偏微分方程的多重变号解
Research on Variational Inequality for a Boundary Value Problem about Elliptic Differential Equation with Variable Coefficients
变系数椭圆型微分方程边值问题的变分不等式研究
self-adjoint elliptic differential operator
自伴椭圆型微分算子