1) elliptic equation
椭圆型方程
1.
A solution to elliptic equation;
关于椭圆型方程的一类解法
2.
A class of nonlinear singularly perturbed problems for elliptic equations with boundary perturbation;
一类边界摄动的非线性椭圆型方程奇摄动问题
3.
Multiple boundary layer phenomena of solution for singularly perturbed elliptic equation of higher order;
奇摄动高阶椭圆型方程解的多重边界层现象(英文)
2) elliptic equations
椭圆型方程
1.
The existence of the explosive solutions for a class of quasilinear elliptic equations;
一类椭圆型方程爆炸解的存在性
2.
This paper presents a method for 3D twist blade curved surface design based on the elliptic equations using Partial Differential Equation solutions.
本文以偏微分方程造型为基础,提出了一种基于椭圆型方程的扭叶片三维型面直接设计方法,详细推导了叶型曲面函数,给出了型面方程的求解及其前后缘修正。
3.
The object of this paper is to propose a numerical methd for solving a kind of the freeboundary problems of elliptic equation , in which the original problem is changed into a fixedboundary problem of a system of quasilinear elliptic equations, which includes two equations andis defined on a rectangular domain.
椭圆型方程自由边值问题的数值解法年四洪，闫双伦，罗远诠（应用数学系）关键词：椭圆型方程；自由边值问题；数值计算分类号：Ｏ２４１。
3) degenerate elliptic equation
退化椭圆型方程
1.
In this paper,on the basis of constructing a suitable test function by way of Hodge s decomposition of disturbing vector fields,we obtain regularity and stability of very weak solutions for a class of degenerate elliptic equations with p≥2;as follows-divA(x,g+u)=f+divh.
对退化椭圆型方程-divA(x,g+u)=f+divh,当p≥2时用扰动向量场的Hodge分解技巧来构造适当的检验函数,得到其很弱解的正则性和稳定性结果。
5) elliptic mild slope equation
椭圆型缓坡方程
1.
Parallel simulation of the elliptic mild slope equation based on PC cluster;
椭圆型缓坡方程的微机群集并行数值模拟
2.
An efficient solution method, BI-CGSTAB, is extended and used to solve the linear algebraic system obtained from the discretization of the elliptic mild slope equation and to simulate the wave propaga- tion over various topography with mild slopes.
将一种十分有效的线性方程组的求解方法ＢＩ－ＣＧＳＴＡＢ推广用于复数域，并首次采用该方法求解了椭圆型缓坡方程离散得到的代数方程组，模拟了比较复杂的缓坡地形上的波浪变形。
6) Elliptic complex equations
椭圆型复方程
1.
In this paper,the complex function method is used to deal with numerical solutions of the irregular oblique derivative problem for linear elliptic complex equations of second order in a simply connected domain.
本文用复分析方法处理单连通区域上二阶线性椭圆型复方程非正则斜微商问题的数值解。
补充资料：退化椭圆型方程
退化椭圆型方程
degenerate effiptic equation
退化椭圃型方程【山半理拍妞洲洲c阅皿泳川;。甲。哪十。oe，U..，叨e.e yPa二e“。e】 偏微分方程 F(x，Du)=0，(l)其中实值函数F(x，妇对于所有实的百满足条件 艺三旦注上鱼业;·)o，(2) {:仁、日q二并且存在一个亡笋O，使得(2)变为等式.这里x是陀维向量(x:，…，x。);“是未知函数;“是多重指标(“，，…，“，);Du是分量为 _、口J区{u J夕一U二二一二-，丁一一一-烈了- 口石“‘x、’‘的向量，}到““;+…十戊。;方程〔1)中诸导数的阶都不超过m;诸q:是向量q的分量;古是”维向量(古、，…，古。);梦”粼，…C二如果对于某个x和Du以及所有实的古尹O，关系式〔2)中严格的不等式成立，那么方程(l)在(x，Du)处是椭圆的.方程(l)在对于某个实的省尹0使不等式(2)成为等式的那些点(x，D。)处退化.如果等式仅在所考虑的区域的边界上成立，则称该方程在区域的边界上是退化的(d卿nerate).研究得最充分的方程是二阶退化椭圆型方程 艺a忿丘(x)。二‘;‘+艺b‘(x)。:‘+e(x)。一f(x)，其中矩阵}{a]“(x)”对于所考虑的所有x值是非负定的. 亦见退化偏微分方程(d卿此mte Parti司di氏获泊-阔闪田tIOn)及其参考文献.
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参考词条