搜索结果: 1-15 共查到“数学 L2”相关记录17条 . 查询时间(0.105 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the L2 rate of convergence in the limit from the Hartree to the Vlasov–Poisson Equation
哈特里到弗拉索夫 泊松方程 极限 L2收敛率
2023/4/13
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
关于质量临界薛定谔方程L2双对数爆破解的构造
质量临界薛定谔方程 log-log爆破解 非线性色散方程
2022/1/26
质量临界薛定谔方程是非线性色散方程最重要的模型之一，log-log爆破解是其最被广泛研究的爆破解之一。此类解在L2扰动的稳定性是一直公开的问题。 研究团队给出了此类爆破解在一类随机L2扰动下的稳定性，并说明其依然会按log-log爆破律爆破。这个工作可以看成是色散方程的随机初值理论的一部分。但与之前绝大多数工作不同，研究团队不是用随机化来克服低正则性带来的不适性，而是用来克服潜在的长时间...
The L2-cutoff for reversible Markov processes
L2-cutoff Markov semigroups Normal operators
2015/8/26
We consider the problem of proving the existence of an L2-cutoff for families of ergodic Markov processes
started from given initial distributions and associated with reversible (more, generally, nor...
Robust solutions to l1, l2, and l_infinity uncertain linear approximation problems using convex optimization
Linear random and uncertain data convex optimization
2015/8/11
We present minimax and stochastic formulations of some linear approximation problems with uncertain data in R^n equipped with the Euclidean (l2), Absolute-sum (l1) or Chebyshev (l-infinity) norms. We ...
A sharp bound on the L2 norm of the solution of a random elliptic difference equation
sharp bound L2 norm random elliptic difference equation
2015/7/14
We consider a stationary solution of the Poisson equation (λ W22; Lω)φλ(x; ω) = W22;∂∗b(x; ω), where λ > 0 and Lω is a random, discrete, elliptic operator given by Lωu(x) := ∂&...
中国科学院数学与系统科学研究院在L2解析延拓问题研究中取得进展
数学系统科学 L2 延拓问题
2014/3/11
近日，由中国科学院数学与系统科学研究院周向宇院士和他的学生关启安博士一起合作的论文A solution of an L2 extension problem with optimal estimate and applications 在国际数学杂志Annals of Mathematics.上在线发表。该杂志审稿人认为"This is clearly an important paper tha...
Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
Finite Element Methods Superconvergence L2-Projection Elliptic Problem
2013/1/30
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
Semi-Implicit Finite Element Method and its Convergence of Single-Particle Reconstruction Using L2-Gradient Flow
Semi-Implicit Finite Element Method Convergence Single-Particle Reconstruction
2012/8/10
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional
density function from a set of two dimensional electron microscopy images. By
minimizing an energy fun...
The vanishing of L2 harmonic one-forms on based path spaces
L2 cohomology Hodge decomposition L2 harmonic forms path space Banach manifold Wiener measure
2012/4/17
We prove the triviality of the first L2 cohomology class of based path spaces of Riemannian manifolds furnished with Brownian motion measure, and the consequent vanishing of L2 harmonic one-forms. We ...
在完全平方可积的L2空间中求解修正Poschl-Teller势满足的Schrodinger方程.由于L2空间能够负载波算子的三对角化矩阵表示，因而求解修正Poschl-Teller势满足的Schrodinger方程转变为寻求波函数展开系数满足的一个三项递推关系式.研究结果表明，相应的束缚态波函数可以由Jacobi多项式表示，束缚态的能谱方程可以由波函数展开系数递推关系式的对角化条件得到.
非齐次非线性Schrodinger方程爆破解的L2-集中率
非齐次Schrodinger方程 爆破解 爆破率 L2-集中率
2011/10/15
本文研究临界幂非线性项的非齐次Schrodinger方程的爆破解.利用对应基态变分特征,我们得到爆破解的爆破速率以及爆破解的L2-集中率。
An efficient numerical algorithm for the L2 optimal transport problem with applications to image processing
Monge-Amp`ere equation optimal transpor numerical solution
2010/12/14
We present a numerical method to solve the optimal transport problem with a quadratic cost when the source and target measures are periodic probability densities. This method relies on a numerical res...
基于L2(0,1)2空间Riesz基的二维小波子空间采样定理
二维小波子空间 Riesz基 采样定理
2009/11/19
证明了在二维小波子空间上存在一种傅立叶对偶算法，即由φ生成的二维小波子空间V0是L2(0,1)2到L2(R2)的有界可逆线性算子T的值域. 通过T扩展L2((0,1)2)空间的Riesz基，进而得到V0∈L2(R2)空间的采样定理.
借助于Fourier变换,在较弱条件下给出了φ(x)是L2(Rs)上正交尺度函数的一个充分必要条件.进一步, 假设 {Ψμ } 是正交小波, 且正交小波的Fourier变换紧支集是
∪μ supp{ψμ} = ∏si=1[Ai, Di] - ∏si=1(Bi, Ci), Ai ≤ Bi ≤ Ci ≤ Di, i =1, 2, … , s.
则在最弱条件“每一个 |ψμ| 在ω ∈ ...