1) very weak solution
很弱解
1.
The Regularity of Very Weak Solutions for Obstacle Problem of Nonmohogeneous;
非齐次障碍问题很弱解的正则性
2.
This paper studies the property of the very weak solutions to obstacle problems for weighted nonmo elliptic equation divA(x,u(x))=divF(x) with conditons〈A(x,ξ),ξ〉≥α|ξ|p,A(x,ξ)≤β(|ξ|+k(x))p-1.
研究非齐次二阶拟线性散度型椭圆方程divA(x,u(x))=divF(x)的障碍问题的很弱解的性质,此方程需满足〈A(x,ξ),ξ〉≥α|ξ|p,A(x,ξ)≤β(|ξ|+k(x))p-1。
3.
This paper studies the property of the very weak solution to obstacle problems for weighted elliptic equation-div A(x,u(x))=0.
研究加权形式的二阶拟线性散度型椭圆方程-divA(x,u(x))=0的障碍问题的很弱解的性质。
2) very weak solutions
很弱解
1.
In this paper,on the basis of constructing a suitable test function by way of applying Hodge s decomposition of disturbing vector fields,we obtain uniqueness results on very weak solutions for Dirichlet s problems of non-homogeneous A-harmonic equation-divA(x,u)=f(x).
通过运用扰动向量场的Hodge分解理论来构造适当的检验函数,得到非齐次A-调和方程Dirichlet问题-divA(x,u)=f(x)在Grand-Sobolev空间很弱解的唯一性理论。
2.
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。
3) very weak supersolution
很弱上解
1.
Define and consider very weak solutions,very weak supersolutions and very weak subsolutions for weighted A-harmonic equations.
定义并研究了加权形式的A_调和方程的很弱解,很弱上解和很弱下解。
4) very weak subsolution
很弱下解
1.
Define and consider very weak solutions,very weak supersolutions and very weak subsolutions for weighted A-harmonic equations.
定义并研究了加权形式的A_调和方程的很弱解,很弱上解和很弱下解。
5) weak solution
弱解
1.
Regularity of weak solutions to quasilinear elliptic systems;
拟线性椭圆方程组弱解的正则性
2.
The regularity of weak solutions for the quasi-linear diffraction problems with linear growth coefficients;
具线性增长系数的拟线性挠射问题弱解的正则性
3.
Partial regularity for weak solutions of a class of quadric increasing triangular parabolic equation systems;
一类二次增长的三角形抛物方程组弱解的部分正则性
6) weak solutions
弱解
1.
The existence of weak solutions for a class of elliptic equation systems;
一类椭圆方程组的弱解存在性
2.
Existence and Stability of Weak Solutions of Stochastic Differential Equations;
随机微分方程弱解的稳定性和存在性
3.
Existence of weak solutions to 2-D Euler equations;
二维Euler方程的弱解存在性
补充资料：弱解
弱解
weak solution
弱解I叭限，kso加‘叨;e顽oe petue。。e] 微分方程 无。三艺a:(x)D“u=f(*) I匡l‘门在区域D的弱解是一局部可积函数u，它对在D中具有紧支集的所有光滑函数毋(比如，C田类函数)满足等式 丁·L‘，“二一丁f，己/. DD这里，(*)中的系数a。(%)假定是充分光滑的，而L’是L的形式的肠脚nge伴随算子: 五‘价一艺(一l)，·，D·(a。毋). l口}《m例如，广义导数f=D““可以定义为局部可积函数f，使得“是方程D‘“”f的一个弱解. 在考虑(*)的弱解时，产生下面的问题:在什么条件下它们是强解(见强解(strong solution))?例如，在椭圆型方程情形下，每一个弱解都是强解.
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参考词条