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排序方式: 共有104条查询结果,搜索用时 15 毫秒
1.
Ciprian A. Tudor Nakahiro Yoshida 《Stochastic Processes and their Applications》2019,129(9):3499-3526
We develop the asymptotic expansion theory for vector-valued sequences of random variables in terms of the convergence of the Stein–Malliavin matrix associated with the sequence . Our approach combines the classical Fourier approach and the recent Stein–Malliavin theory. We find the second order term of the asymptotic expansion of the density of and we illustrate our results by several examples. 相似文献
2.
Glen Wheeler 《Journal of Mathematical Analysis and Applications》2011,375(2):685-698
We consider closed immersed hypersurfaces in R3 and R4 evolving by a special class of constrained surface diffusion flows. This class of constrained flows includes the classical surface diffusion flow. In this paper we present a Lifespan Theorem for these flows, which gives a positive lower bound on the time for which a smooth solution exists, and a small upper bound on the total curvature during this time. The hypothesis of the theorem is that the surface is not already singular in terms of concentration of curvature. This turns out to be a deep property of the initial manifold, as the lower bound on maximal time obtained depends precisely upon the concentration of curvature of the initial manifold in L2 for M2 immersed in R3 and additionally on the concentration in L3 for M3 immersed in R4. This is stronger than a previous result on a different class of constrained surface diffusion flows, as here we obtain an improved lower bound on maximal time, a better estimate during this period, and eliminate any assumption on the area of the evolving hypersurface. 相似文献
3.
Fang Fang Fan Ze Hong Yan 《International Journal of Infrared and Millimeter Waves》2008,29(6):579-585
This paper presents the design and implementation of Ka band broadband hybrid integrated image rejection mixer with a fourth
harmonic mixer as unit mixer. Detailed design and analysis have been carried out. The mixer was fabricated by hybrid microwave
integrated circuit (HMIC) process based on the thin film ceramic substrate which can reduce the cost compared to monolithic
microwave integrated circuit (MMIC). The measured results showed conversion loss less than 11.2 dB and image rejection ratio
(IRR) more than 20 dB in 4 GHz RF bandwidth. It can also play the role of up-converter from the test data. 相似文献
4.
Jeffrey D. Streets 《Journal of Geometric Analysis》2008,18(1):249-271
We study the gradient flow of the Riemannian functional ℱ(g):=∫
M
|Rm|2. This flow corresponds to a fourth-order degenerate parabolic equation for a Riemannian metric. We prove that the degeneracies
may be accounted for entirely by diffeomorphism flow, and hence we show short-time existence using the DeTurck method. We
prove L
2 derivative estimates of Bernstein-Bando-Shi type and use these to give a basic obstruction to long time existence and prove
a compactness theorem.
相似文献
5.
The fourth central moment of an X-ray diffraction profile from an aggregate of distorted crystallites has been expressed by
Mitra (1964a) as a function of the crystallite size, strain and strain gradients in the specimen. While the usual methods
of line profile analysis yield information regarding either the apparent strain or the rms strain, the present study provides
additional information regarding strain distribution in the form of strain derivatives and rms displacements of atoms over
a given distancet in the direction of study. The strain parameters like 〈ee′〉, 〈ee″〉 have been obtained from fourth moment of the strain profile against range plots. The strain parameters thus obtained have
subsequently been used to determine the rms displacements of the atoms. Alloys of copper and zinc at different stages of cold
working and annealing have been studied by this method. The results have been discussed in the light of dislocation distribution,
polygonisation and grain growth as well as distortion waves in the distorted crystals. 相似文献
6.
Shuo Zhang Ming Wang 《计算数学(英文版)》2008,(4):554-577
In this paper, we consider the nonconforming finite element approximations of fourth order elliptic perturbation problems in two dimensions. We present an a posteriori error estimator under certain conditions, and give an h-version adaptive algorithm based on the error estimation. The local behavior of the estimator is analyzed as well. This estimator works for several nonconforming methods, such as the modified Morley method and the modified Zienkiewicz method, and under some assumptions, it is an optimal one. Numerical examples are reported, with a linear stationary Cahn-HiUiard-type equation as a model problem. 相似文献
7.
Daniel Guan 《Central European Journal of Mathematics》2009,7(1):84-123
This paper is one in a series generalizing our results in [12, 14, 15, 20] on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of Kähler-Einstein metrics on these manifolds and obtain new Kähler-Einstein manifolds as well as Fano manifolds without Kähler-Einstein metrics. As a consequence of our study, we also give a solution to the problem posted by Ahiezer on the nonhomogeneity of compact almost-homogeneous manifolds of cohomogeneity one; this clarifies the classification of these manifolds as complex manifolds. We also consider Fano properties of the affine compact manifolds. 相似文献
8.
A non-linear partial differential equation modelling the flow of a fourth-grade fluid is derived. Both analytical and numerical travelling wave solutions admitted by the model equation are obtained. 相似文献
9.
李永祥 《数学物理学报(A辑)》2003,23(2):245-252
该文讨论四阶常微分方程边值问题u^(4)(t)=f(t,u,u″), t∈[0,1],u(0)=u(1)=u″(0)=u″(1)=0解的存在性, 其中f(t,u,v):[0,1]×R×R→R为Carathéodory函数. 在不限制f关于u,v的增长阶, 不假定f关于u,v的单调性的一般情形下, 用上下解方法获得了解的存在性结果,并讨论了单调迭代求解的有效性. 相似文献
10.