查询词典 sobolev space

Chapter 2 mainly discusses the basic acknowledge of Sobolev space and Banach spacedifferential, and also discusses basic theory of parameter identification and optimal control ofparabolic distributed parameter system.

第二章主要介绍了Sobolev空间和Banach空间微分学的基础知识，还介绍了抛物型分布参数系统参数辨识与最优控制的基本理论。

In addition, for any f ∈ H〓 or H〓, the Sobolev space, the approximations of f , f′ and f are disscussed by means of the obtained sampling theorem.

另外，也给出Sobolev空间H〓和H〓中的函数、一阶导函数及二阶导函数的逼近表示。

5The OCT reconstruction is notstable in the meaning of L2 norm,but extended to Sobolev space,it has a stablebehavior.

5OCT的重建问题在一般L2范数意义下是不稳定的，即系统可能因为小的扰动而剧烈震荡；但在Sobolev空间、规定的范数意义下，能够保证，理想的OCT数学模型中的重建问题是稳定有界的。

The error estimates for moving least-square approximation, which is the method for obtaining the shape function in element-free Galerkin method, are presented in Sobolev space W k , p for high dimensional problems.

在高维情况下，首先研究了无单元Galerkin方法的形函数构造方法——移动最小二乘法在Sobolev空间 W k ， p中的误差估计。

Shortcomings of Tikhonov regularization model in Sobolev space for image zoom in are analyzed and a digital total variation model with image inpainting for noisy image zoom-in is presented.

分析了利用Sobolev空间Tikhonov正则化模型对带噪图像进行放大的不足，基于图像的修复模型，提出带噪图像放大的数字全变差模型。

As the first step, the usage of the important theorem of the Sobolev space supplies some exciting conclusions by discussion of the method of protruding analysis and the function of energy with the positive and negative cases being considered.

采用能量函数方法和改进的凸性分析方法，从Sobolev空间的重要定理——嵌入定理入手，分初始能量为正或者为负两种情况，对所述问题进行讨论，得到了令人满意的结果。

In ChapterⅢ,we plan to break through the usual 〓-framework of quantummechanics and attempt to study Heisenberg's inequality in Sobolev space,becausemany important wave functions are beyond the older framework.

由于很多重要的波函数不在〓或〓内，第二章突破通常的框架而尝试着研究Sobolev空间中的Heisenberg不等式。

The substitution is made of the interval wavelet basis for the compact one in order toproduce the basis of Sobolev space with the lower condition number,which will improvethe speed and the accuracy of the linear system made by wavelet Galerkin method.

我们在小波Galerkin法中用区间小波替代J.Xu用的I.Daubechies的紧支正交小波来生成Sobolev空间及H1的小波基，使基的相关性大大减小，进一步使刚度矩阵的条件数减少，从而提高了线性方程组求解的速度和精度。

Deducing the associated Euler-Lagrange equations of the two models, it is analyzed the diffusion performance of the p-harmonic equations and proved the two models have unique solutions in the space of Sobolev.

利用变分原理，推导出两种变分模型所对应的Euler-Lagrange方程；利用图像的局部正交坐标系，分析其扩散能力。

Those results are obtained on the framework of of Sobolev space H~l and theregularity index is required to be high (l＞1+d/2,l∈Z) when one deals with them byclassical analysis methods.

在本章中，我们将研究指标的极限情形l=1+d／2。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。