...elliptic system, generalized Green’s function, goal oriented error estimates, multiscale method[gap=438]关键词。后验误差分析，伴随的问题，椭圆型方程组，广义格林函数，以目标为导向的错误估计，多尺度方法，操作分解，投影误差的AMS主题分类。 65N15，65N30，65N50 1。
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second-order elliptic system [数] 二阶椭圆系统
nonlocal elliptic system 非局部椭圆型方程组
Parabolic-elliptic system 抛物椭圆方程组
nonlinear elliptic system 非线性椭圆方程组
semilinear elliptic system 椭圆型方程组
degenerate elliptic system 退缩椭贺型方程组
noncooperative elliptic system 非合作椭圆系统
elliptic system in diagonal 对角型椭圆组
In this paper we will study the following parabolic-elliptic system which is a kind of simplified Keller-Segel type.
本文所研究的非线性抛物-椭圆系统是一类简化了的经典模型。
参考来源 - 非线性抛物—椭圆系统解的全局存在性和爆破性Moreover, by the similar method and maximum principle, we discuss the existence of three nonnegative solutions under other conditions for the second and fourth order elliptic system.
随后,用类似的方法和极大值原理,证明了此类二、四阶椭圆方程组在一定条件下三个非负解的存在性。
参考来源 - 高阶椭圆方程组的多解问题In chapter one, the Riemann-Hilbert boundary value problems for a class of nth order elliptic system is discussed. We prove its solvability and give the integral representation of the solution.
在第一章中,研究了由双解析函数产生的一类n-阶椭圆型方程组的Riemann-Hilbert 边值问题,建立了其解的积分表示,并利用不动点原理证明了其解的存在性。
参考来源 - 两类Riemann·2,447,543篇论文数据，部分数据来源于NoteExpress
This paper is concerned with the existence for bounded positive entire solutions of a class of semilinear elliptic system.
本文讨论了一类半线性椭园方程组正有界整体解的存在性。
This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.
讨论了一阶非线性椭圆型方程组斜微商问题解的稳定性，这个结果是借助于有关边值问题解的先验估计而导出的。
Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution.
考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长。
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