查询词典 domain of existence

In this article, a class of nonlinear elliptic boundary value problems with singular coefficient in one-dimensional domain was considered.first of all existence and uniqueness of the weak solution of the variational problem correspondin

本文考虑如下一维四阶非线性奇异边值问题 Lu=D~2p(xD~2u-Dp(xDu+pu=fx，u(x x∈I≡(0，1)u(0)=u′(0)=0 u(1)=u′(1)=0的有限元方法。给出相应问题广义解的存在唯一性和先验估计，并通过与解的E-范数投影相比较得到Galerkin逼近的L_2和最大

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

In this chapter we discussed the existence,uniqueness and approximation degree of binary cubic splines with C~2 connectivity for type-Ⅱtriangulations on rectangular domain,and we also gave a analysis of approximation of the interpolation splines.

本文还研究了二元三次样条函数在曲面重建中的应用问题，在TYPE-Ⅱ型剖分下，对于三次样条插值曲面的C~1-拼接问题，许多学者在这方面展开了大量的研究

By using the spatial finite sine and cosine transform, and the temporal Laplace transform, the existence of the analytic solutions of its initial-boundary problems in a boundedspace domain with Dirichlet and Neumann boundary conditions is derived.

利用空间有限的sine或cosine变换及时间Laplace变换，给出了该方程有限区间上带Dirichlet和Neumann边界条件的两类初边值问题的解析解。

Jordan normal form in a complex domain existence and uniqueness of these two important properties, is a powerful tool for problem solving, use of these two properties can effectively streamline the difficulties to obtain the multiplier effect.

Jordan标准形在复数域中有存在性和唯一性这两个重要性质，是我们解题的有利工具，运用这两个性质能有效的简化问题的难度，以取得事半功倍的效果。

This is why there is such a loveless existence here in this region of domain from the perspective of the Tao.

从道的视角看来，这就是为什么在本造物区域这里是这样一种无爱的存在的原因了。

The existence and uniform boundedness of the global solutions of the model for sulphur dioxide oxidation in a tubular reactor with periodic flow reversal are proved by the invariant domain method.

利用不变区域方法，证明了二氧化硫催化氧化管式反应器流向变换强制操作模型整体解的存在性和一致有界性。

The author constructed a linear schemes type Region-Project-Join-Normal-Form based on lossless join decomposition, and gave the form of RPJNF through the presentation of equivalence between semantic variable independence and syntax variable independence under finite precision domain. Some other new constraint data dependencies including partitioned multi-region existence dependency and single region existence dependency were also presented. A result of variables set under linear transformation was discussed.

文中给出并证明了多区域存在依赖满足的几条推理规则；提出并证明了线性序约束关系进行模式无损连接分解的充要条件是变量集满足变量独立和多区域存在依赖；设计了一种基于模式无损连接分解的区域投影连接范式；通过证明有限精度域上语义变量独立和语法变量独立的等价性，给出有限精度域上RPJ范式的表达形式。

The existence ofpolar nanoregions dramatically influences the extrinsic dielectric nonlinearityof paraelectric phase. 5 Slow relaxations of field induced piezoelectricresonance of paraelectric barium stannate titanate were observed after eitherapplying or removing a DC bias field. This phenomenon is attributed to slowspace charge dipoles formed by injected homocharges and validated by theobservation of a negative piezoelectric constant. Isothermal study ondielectric constant and discharging current after application or removal of astep field were performed. The relaxation laws in ferroelectric andparaelectric phases are different. The transportation of homocharges arebelieved to be responsible for the strong relaxation behavior in paraelectricphase. Domain wall can trap space charges thus the relaxation in ferroelectricphase is relatively weak. Abnormal phenomena, such as slim-waisted hysteresisloops, abnormal C-V curves and clockwise reversible hysteresis loops observedin barium stannate titanate ceramics, were attributed to pinning of gatheredpoint defect on domain walls.

5研究了直流电场施加和撤除引起的钛锡酸钡顺电相场诱压电谐振慢弛豫现象，认为这是同极性空间电荷注入形成空间电荷慢偶极子导致的，观察到的负压电常数证实了这个观点；研究了等温条件下阶跃电压作用下介电常数和放电电流的慢弛豫现象，发现钛锡酸钡陶瓷的铁电相和顺电相呈现不同的宏观性能时间依赖规律，认为是同极性空间电荷的输运过程导致了顺电相样品呈现强的弛豫行为，铁电相中存在畴壁捕获空间电荷的机制因而其弛豫行为较弱；研究了钛锡酸钡陶瓷中束腰电滞回线、反常 C-V 曲线和顺时针可逆电滞回线等反常现象，将其归因于点缺陷的聚集对铁电畴畴壁的钉扎作用，多次电场循环有助于解除这种钉扎状态，减弱反常特征。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。