1) maximum principle
极值原理
1.
elliptic maximum principle and krein-Rutman theory with parabolic maximum principle and operator semigrou;
椭圆极值原理与krein-Rutman定理以及抛物极值原理与算子半群
2.
Generalization of Aleksandrov-Bakel man-Pucci-Krylov-Tso maximum principle and its application to viscosity solutions;
Aleksandrov-Bakel man-Pucci-Krylov-Tso极值原理的推广及其在研究粘性解中的应用
3.
From basic equations of PMSM in d-q reference frame,d and q axis currents and nonlinear torque equations were derived using maximum principle.
根据PMSM在d-q坐标下的基本方程,用极值原理建立了d、q轴电流与转矩的非线性方程组;推导出d、q轴电流与转矩的非线性方程组和d、q轴电流与转矩的表达式;实现了最大转矩电流比控制方法。
2) extremum principle
极值原理
1.
Slope stability analysis using extremum principle by Pan Jiazheng and harmony search method;
利用潘家铮极值原理与和声搜索算法进行土坡稳定分析
2.
In the paper, the incremental function of strain and displacement of themetallic deformation region can be defined by the functional equilibrium method of extremum principle when workpiece is extruded through the cone mould.
采用极值原理的功能平衡法。
3.
The relation formulas of d,q axis currents and torque were derived via extremum principle and a simplified approximate algorithm was also given in order to satisfy the engineering application.
用极值原理推导出在输出转矩一定时所需要的最小d,q轴电流应满足的关系式,同时给出了一种简洁的工程近似求解方法。
3) maximum principles
极值原理
1.
By application of Hopf s maximum principles,authors have studied a class of equations in divergence form.
文章主要应用Hopf极值原理,对一类散度型方程进行研究。
2.
By means of maximum principles and Hopf boundary lemma, the prior estimates of the strict positive solutions are given at first.
本文首先运用极值原理以及Hopf边界引理讨论了一类具有Holling-Tanner项的反应扩散模型的平衡态系统在第三边值条件下的正解的先验估计。
3.
The maximum principles for functions which are defined on solutions of semilinear elliptic equations u+f(x,u,q)=0(q=|u|~2)subject to Dirichlet boundary conditions u=0 were studied by using Hopf s maximum principle,the estimate of gradient q was obtained.
运用Hopf极值原理讨论了一类具有Dirichlet边界条件u=0的半线性椭圆方程Δu+f(x,u,q)=0(q=|u|2)的解的某个函数的极值原理,利用该结论获得了解的梯度q的估计。
4) the maximum principle
极值原理
1.
Using the maximum principle,we give the location of the quenching points for the solution for a degener- ate parabolic equation,and we also show the estimate of the quenching time.
利用极值原理,我们证明了熄灭点的唯一性,并给出了熄灭时间的估计。
5) extreme value principle
极值原理
1.
In this paper,the metal displacement incremental function in the deformation zone on plug drawing mill can be estimated with extreme value principle.
采用极值原理的功能平衡法，确定短芯棒拔管变形区内金属的位移增量函数，并依此建立拔制力计算模型。
6) Maximum Principle
极大值原理
1.
Comparison and maximum principles for convex functions on Grushin-type planes;
Grushin型平面上凸函数的比较原理和极大值原理
2.
Assume following nonlinear parabolic equation(Ψ(u))t=uxx+(1-u)-p with nonlinear singular boundary has a monotonous initial value,by applying Maximum Principle,quenching which only took place on the left boundary in finite time was proved and some estimations of quenching rate were also derived.
设带非线性奇异边界条件的非线性抛物方程(Ψ(u))t=uxx+(1-u)-p的初值是单调的,则由极大值原理得到了解在有限时间内仅在左边界发生淬灭,以及淬灭速率的估计。
3.
The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle,and the blow-up rate of the solutions was obtained.
以反演原理、辅助函数法和经典抛物型方程的极大值原理为工具,证明了问题正解的爆破集是一紧子集,并获得了解的爆破率,即爆破解关于时间t的估计。
补充资料：Weierstrass条件(对变分极值的)
Weierstrass条件(对变分极值的)
eierstrass conditions (for a variational extremun
与 ，(，)一丁:(:，、(:)，、(。))过:， ，‘! L:R xR”xR”~R，在极值曲线x;、(t)上达到一个强局部极小值，其必要条件是不等式 、(r，x。(r)，又。(r)，亡))o对所有的t，t。蕊t毛t、和所有的省任C”都满足，其中‘·是Weierstrass澎函数(Weierstrass吕J一几mC-tion).这条件可借助于函数 n(t，x，p，u)=(p，u)一L(t，x，u)来表示(见n0HTp“「“H最大值原理(Pont月闷gm~-mum pnnciple)).Weierstrass条件(在极值曲线x。(t)上六)0)等价于函数n(r，x.，(t)，尸。(r)，u)当“=交.，(r)在u上达到极大值，其中夕。(t)=L、(t，x。，(t)，又。(t)).这样，Weierstrass必要条件是floH-Tp。朋最大值原理的特殊情形. Weierstrass充分条件(Weierstrasss川币eientcon-山tion):为了泛函 叭 ，(，)一丁:(:，、(。)，*(。))、。， r‘- L:R xR”xR”一，R在向量函数x.，(t)上达到一个强局部极小值，其充分条件是在曲线x。(t)的一个邻域G中存在一个向量值场斜率函数U(t，x)(测地斜率)(见H皿祀rt不变积分(Hilbert invariant integral))，使得 交。(t)=U(t，x。(t))和 产(t，x，U(t，x)，七))0对所有(t，x)〔G和任何向量亡6R”成立.【补注]对在极值曲线的隅角的必要条件，亦见Wei-erstrass一Erd”.un隅角条件(W匕ierstrass一Erdrnanncomer conditions).weierstrass条件(对变分极值的)[Weierstrass cOI公i-tions(for a varia垃翻目翻drelll.ll:Be滋eP山TPaccayc-月OBH，，KcTpeMyMa」 经典变分法中对强极值的必要和(部分地)充分条件(见变分学(variational cakulus)).由K .We卜erstrass于1879年提出. 节几ierstrass必要条件(Weierstrass neeessary con-dition):为使泛函
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条