1) advance estimate
预先估计值
3) a priori estimates
先验估计
1.
First,a priori estimates for positive solutions is established;then,the non-existence of non-constant positive steady states is given by using the energy method;the existence of non-constant positive steady states is obtained by using the topological degree theory.
首先,给出了正解的先验估计,进而,用能量方法得到其非常数正解的不存在性,用拓扑度理论得出其非常数正解的存在性结果。
2.
Based on Bernstein s technique,this paper established the C~(1,1) a priori estimates for degenerate Hessian equation on S~n,which is corresponding to Christoffel-Minkowski problem in convexity geometry.
通过Bernstein方法,对来源于凸体几何中的Christoffel-Minkowski问题,建立了球面上的退化的Hessian方程的C(~1,1)先验估计,在一定程度上推广了Krylov的结果。
3.
The present paper studies a priori estimates of incremental unknowns methods for Dirichlet problems with space dimensions three.
文中讨论了三维Dirichlet问题的增量未知元方法的先验估计,这种估计是在三个坐标方向上的部分具有相同的非一致性的特殊情形下得到的。
4) priori estimates
先验估计
1.
On the basis of the priori estimates,convergence and stability of the numerical solution are prove
对一类带五次项的非线性Schrdinger方程的初边值问题提出了一个参数型的守恒差分格式,并在先验估计的基础上证明了差分格式的收敛性与稳定性。
2.
Using the priori estimates we can prove that the solution u(t) is bounded in L~2(Ω),H~1(Ω) and H~2(Ω).
考虑二维Sobolev空间中带外力项的非线性Ginzburg-landau方程整体解的存在唯一性,采用先验估计的方法,证明了解u(t)在空间L2(Ω)、H1(Ω)及H2Ω上是有界的,从而获得问题的整体解的存在性和唯一性。
3.
First we give a priori estimates of the solutions and then by using the estimates of the solutions and the Schauder fixed point theorem,the existence of solutions for above boundary value problems are proved.
首先给出解的先验估计，然后用这个估计和Ｓｃｈａｕｄｅｒ不动点定理，证明了解的存在
5) prior estimation
先验估计
1.
By using prior estimation the global solution existence for dissipative CH equation is obtained on total space H~s_0(R) to time.
利用Galerkin过程将耗散CH方程表示为常微分方程形式,再利用先验估计获得了解在全空间Hs0(R)上关于时间的整体的存在性,通过范数估计对解的性质进行了研究,发现强耗散CH方程在初值u0∈H10(R)条件下存在整体吸引子。
2.
A rational method for prior estimation for covariance matrix of parameters is presented in this paper.
本文提出了参数协差阵的先验估计方法，对于同一单元内不同类型的参数，通过将参数分解为一系列统计独立的要素，利用函数协差阵与变量协差阵之间的关系求得参数的协差阵。
3.
The prior estimation of the solution is obtained,and the existence of the global attractor in the H~1 week topology is proved.
文章讨论无界区域上GBBM方程的Cauchy问题,对方程的解进行了先验估计,并证明了在H~1弱拓扑中整体吸引子的存在性。
6) priori estimate
先验估计
1.
Remark of priori estimates for maximum modulus of solutions of degenerate elliptic systems in diagonal form;
一类蜕化椭圆方程组广义解最大模先验估计的注记
2.
An irreversible phase change problem and priori estimates for its solution;
一个不可逆相变问题解的先验估计
3.
A class of priori estimate is derived by the energy method of analysis for the second-order differential equations with boundary value problem.
针对两点边值问题的二阶线性微分方程的解的估计,运用能量分析法对微分方程的解进行先验估计,并在不同的范数条件下,给出了具体的表达式。
补充资料：预先
1.在事情发生或进行之前。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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