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1)  local regularity estimates
局部正则性估计
1.
By the way of Morawetz multiplier,the local regularity estimates for the Schrdinger equation with potentials are developed which genaralize the addition condition.
为将附加条件推广到更一般的情况,考虑了带有势函数的Schrdinger方程的初值问题,利用Morawetz乘子,得到了带有势函数的Schrdinger方程解的局部正则性估计
2)  local regularity
局部正则性
1.
The local regularity result for solutions of obstacle problems of nonlinear A_harmonic equationdivA(x,u(x))=divF(x)is obtained.
障碍问题解的局部正则性结果,即设障碍函数ψ∈W1,sloc(Ω),1
2.
The local regularity result is obtained by using the method of Hodge decomposition.
使用Hodge分解等工具,得到了其局部正则性,推广了[1]之结果。
3)  estimation of regularity
正则性估计
1.
A nonlinear and strongly coupled vegetation ecological system was investigated by using energy method and inequality embedment,and the estimation of regularity was established for its non-negative weak solution,so that the continuous dependence of non-negative weak solution of vegetation ecological system on the initial values was obtained.
利用能量方法,采用嵌入不等式研究一个非线性强耦合生态植被系统,建立非负弱解正则性估计,得到植被生态系统非负弱解对初值的连续依赖性。
4)  Gevrey microregularity
Gevrey微局部正则性
1.
In this paper, we first go over some aspects of paradifferential calculus in Gevrey classes, then study some propositions of symbols related to fully nonlinear partial differential equations in Gevrey classes, and as an application, get Gevrey microregularity of solutions at elliptic points.
作为应用 ,我们得到解在椭圆点附近的Gevrey微局部正则性 。
5)  C1
局部C1μ-正则性
6)  weak local holomorphy
弱局部正则性
补充资料:非正则性指标


非正则性指标
irrequiarity indices

兄,(一A‘)“又,(A),i=l,…,n.结果,对于Ha而ton系统的变分方程组,其正则性的必要和充分条件是 又,(A)=一又。十:_:(A),i=1,…,k(nePc职cK戚定理(h巧ids幼此0众沈n)). 其他非正则指标,见〔4]一「61.非正MIJ性指标[加明呻‘钾加血es;“eopa。。月研oeTu幼冲枷职e盯叫,线性常微分方程组的 在每个有限区间上可积的映射A:R十~Hom(R月,R”)(或R+~Hom(C门,C月))构成的空间上的非负函数,,使得。(A)等于零的必要和充分条件是方程组 交=A(t)x(*)为正则线性方程组(川刻盯址眨甘system). 最熟知(且最容易定义)的非正则性指标如下所述. l)瓜nyHoB非正则性指标(卜姆pUnov近叫汕州ty访dex)(11」): 气(‘)一‘氨(‘,:甄封仃“·,“一其中又*(A)是方程组(,)的几,nyHoB特征指数(L界Punov cha皿cteristic exponent),按降阶排列,而trA(t)是映射A(t)的迹. 2) PerID幻非正则性指标(RnUn谊闪画州ty)([21): “,(A)一1黔(又,(A)+‘一(一A’)),其中A‘(t)是A(t)的伴随映射.如果系统(*)是H肚ai地刀系统(H盯间to币ansysteln) aH_一, 4=气等,尸。R·, ,aP’‘ 刁H_一。 户二一书于,qoR·, r日q则n二2丸,而
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