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A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
Dirichlet函数类的Fejér算子逼近     Dirichlet类  Hardy空间  多项式逼近  Fejér算子       font style='font-size:12px;'> 2013/10/17
对Cn中的单位球Bn上的Dirichlet类Dp,得到与Hardy空间Hp的包含关系,并获得其精确的多项式逼近阶和以Hardy空间度量的Fejér算子逼近的一个上界估计.
研究了非线性2阶Dirichlet 边值问题u″(t)-λu(t)+h(t)f(t,u(t))+g(t,u(t))=00-π2是常数,而g(t,u)可以在u=0处奇异.通过精确估计解的先验界并且利用锥拉伸-压缩的Guo-Krasnoselskii不动点定理,建立了几个存在定理.
The Dirichlet series Lm(s) are of fundamental importance in number theory. Shanks defined the generalized Euler and class numbers in connection with the Dirichlet series, denoted by {sm, n}n≥0. We obt...
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem.
Lam´e’s formulas for the eigenvalues and eigenfunctions of the continuous Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the discrete...
The Dirichlet-to-Neumann map for differential forms on a Riemannian manifold with boundary is a generalization of the classical Dirichlet-to-Neumann map which arises in the problem of Electrical Imped...
The paper deals with the approximation of the law of a random functional of a Dirichlet process using a finite number of its moments. In particular, three classes of approximation procedures – expansi...
A classification of all polygonal domains possessing a complete set of trigonometric eigenfunctions of the Laplacian under either Dirichlet or Neumann boundary conditions is developed. Polygonal domai...
In this paper we present a new Monte Carlo algorithm for finding the solution of Dirichlet partial differential equations (DPDE). Here, we show the solution of a given DPDE, can be found by a new effi...
0 is a constant. Intervals of 5 are determined to ensure the existence of a nonnegative solution of the boundary value problem. For λ=1, we shall also offer criteria for the existence of eigenfunction...
Dirichlet问题的正解     正解  Dirichlet问题  山路定理         font style='font-size:12px;'> 2007/12/10
该文讨论了光滑有界域上非线性Dirichlet问题,在无穷大和子线性原点附近其非线性项是渐近线性的,非超线性的.利用山路定理,证明了在非线性性适当的假设下存在至少两个正解.
Dirichlet先验的信息比     无信息先验  多项分布  广义方差  估计         font style='font-size:12px;'> 2007/12/10
通过后验协方差期望的行列式之比研究了作为多项分布参数先验分布的Dirichlet分布的信息性质.导出了Dirichlet分布族及其两个子族内的无信息先验分布.
Dirichlet L-函数的一次加权均值     Dirichlet L-函数  Gauss和  加权均值  渐近公式       font style='font-size:12px;'> 2012/11/29
利用Gauss和的定义、三角和估计及其解析方法,研究了Dirichlet L-函数倒数的一次加权均值分布,得到一个有趣的加权均值分布的渐近公式.

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