共查询到20条相似文献,搜索用时 31 毫秒
1.
W2,ploc(\Omega)\cap C1,α(\bar Ω) Viscosity Solutions of Neumann Problems for Fully Nonlinear Elliptic Equations 下载免费PDF全文
Jiguang Bao 《偏微分方程(英文版)》1995,8(3):219-232
In this paper we study fully nonlinear elliptic equations F(D²u, x) = 0 in Ω ⊂ R^n with Neumann boundary conditions \frac{∂u}{∂v} = a(x)u under the rather mild structure conditions and without the concavity condition. We establish the global C^{1,Ω} estimates and the interior W^{2,p} estimates for W^{2,q}(Ω) solutions (q > 2n) by introducing new independent variables, and moreover prove the existence of W^{2,p}_{loc}(Ω)∩ C^{1,α}(\bar \Omega} viscosity solutions by using the accretive operator methods, where p E (0, 2), α ∈ (0, 1}. 相似文献
2.
Han Yang 《偏微分方程(英文版)》1999,12(1):26-40
In this paper we study the scattering theory for the semilincar wave equation u_{tt} - Δu = F(u(t, x), Du(t, x)) in R^n (n ≥ 4) with smooth and small data. We show that the scattering operator exists for the nonlinear term F = F(λ) = O(|λ|^{1, α}), where α is an integer and satisfies α ≥ 2, n = 4; α ≥ I, n ≥ 5. 相似文献
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对半参数回归模型:Y(xin,tin)=tinb+g(xin)+e(xin),1≤j≤m,1≤i≤n,本文在NA相依样本下讨论了g的加权估计及b的最小二乘估计的强相合性与r(>2)阶平均相合性,使得文献犤2犦在独立样本下的相应结果得到推广 相似文献
5.
在NA相依样本条件下,对未知分布函数F(x)的递归核估计进行研究,在适当的条件下,得到了估计的r^-阶平均相合速度,逐点强相合和一致强相合速度,作为应用,讨论了平均剩余寿命函数估计的相合速度。 相似文献
6.
This paper deals with a stochastic optimization problem when its decision parameter belongs to a separable Banach space. Conditions under which strong consistency of the parameter empirical estimates holds, are established. Leastl
1-norm estimates for two models (nonlinear and nonparametric regression) are investigated as special cases of such empirical estimates. 相似文献
7.
对于半参数回归模型 yi=xiβ+g( ti) +ei,i=1 ,2 ,… ,n,本文综合最小二乘法和一般加权方法 ,定义了 β,g( t)的估计量 βn,gn( t) .在误差为 NA序列时 ,得到了 βn,gn( t)的 r ( r≥ 2 )阶矩相合性 . 相似文献
8.
Radhey S. Singh Manzoor Ahmad 《Annals of the Institute of Statistical Mathematics》1987,39(1):549-562
Summary Two sets of modified kernel estimates of a regression function are proposed: one when a bound on the regression function is
known and the other when nothing of this sort is at hand. Explicit bounds on the mean square errors of the estimators are
obtained. Pointwise as well as uniform consistency in mean square and consistency in probability of the estimators are proved.
Speed of convergence in each case is investigated.
Major work of this research was completed during the first author's two visits (November–December, 1983 and August–September
1984) to the second author at the Universite du Quebec a Montreal. Part of the work of the second author was supported by
the Air Force Office of Scientific Research under contract F49620-85-C-0008 while he was at the University of Pittsburgh during
Spring in 1985. 相似文献
9.
Prakasa Rao在文献 [1 ]中提出了一类密度估计 fn( x) .本文在一些较弱的条件下 ,研究 fn( x)逐点 r阶平均相合性和一致 r阶平均相合性 相似文献
10.
In this paper, we study the strong consistency and convergence rate of modified partitioning estimate of nonparametric regression function under the sample {(Xi, Yi),i ≥ 1} that is α sequence taking values in Rd × R1 with identical distribution. 相似文献
11.
NA样本非参数回归权函数估计的强相合性 总被引:1,自引:0,他引:1
在 NA样本下 ,讨论了非参数回归模型中权函数估计的强相合性及强一致相合性 ,并把这个结果应用于 Gasser- Muller估计和 Priestley and Chao估计 . 相似文献
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给出了m-相依情形的L2-Cross-Validation最近邻中位数估计的弱相合性和用L_2-Cross-Validation方法选择的光滑参数的下界. 相似文献
14.
A. I. Karoblis 《Journal of Mathematical Sciences》1987,38(5):2279-2287
Let pn(x) and qn(x) be the densities of the n-fold convolutions of the distributions F and G, respectively. One proves estimates for
, expressed in terms of moment characteristics of F — G, under certain restrictions on the densities of F and G. Similar problems are solved for two lattice distributions and for a lattice and a continuous distribution.Translated from Veroyatnostnye Raspredeleniya i Matematicheskaya Statistika, pp. 193–212, 1986. 相似文献
15.
设p>0且A,B是Hilbert空间上两个正算子,Furuta给出若A>B>0,那么对任意r>0,F(α)=(ArBαAr)p+2r/α+2r 是关于α>P单调递减的,但是他指出这个结果在0<α
0的条件下并不一定成立.本文给出: (1)如果-1/2
16.
混合误差半参数回归模型估计的相合性 总被引:1,自引:0,他引:1
研究了误差为ψ混合和ψ混合序列的半参数回归模型,综合最小二乘法和非参数权函数估计方法,分别定义了待估参数β和未知函数夕的估计量βm,n和9m,n(χ).利用混合序列的矩不等式及凸函数的性质,在较弱的条件下证明了这些估计量的强相合性与矩相合性,这些结果推广了已有的相应的研究结果. 相似文献
17.
阻尼Sine-Gordon方程的H1-Galerkin混合元方法数值解 总被引:1,自引:0,他引:1
利用H1-Galerkin混合有限元方法讨论阻尼Sine-Gordon方程,得到一维情况下半离散和全离散格式的最优阶误差估计,并且推广应用到二维和三维情况,而且不用验证LBB相容性条件. 相似文献
18.
A Note on C1,α Estimates for Solutions of Fully Nonlinear Elliptic Equations and Obstacle Problems 下载免费PDF全文
Chen Yazhe 《偏微分方程(英文版)》1992,5(4):1-12
We deal with C^{1,α} interior estimates for solutions of fully nonlinear equation F(D²u, Du, x) = f(x) with the bounded gradient Du and a bounded f(x). Based on these estimates we obtain the existence of strong solutions of the obstacle problem for fully nonlinear elliptic equations under natural structure conditions. 相似文献
19.
Ming-Sheng Du 《计算数学(英文版)》1991,9(1):41-56
In this paper, we deal with the finite difference method for the initial boundary value problem of the nonlinear pseudo-parabolic system $(-1)^Mu_t+A(x,t,u,u_x,\cdots,u_x 2M-1)u_x2M_t=F(x,t,u,u_x,\cdots,u_x 2M)$,$u_xk(o,t)=\psi_{0k}(t), u_xk(L,t)=\psi_{1k}(t),k=0,1,\cdots,M-1,u(x,0)=\phi (x)$ in the rectangular domain $D=[0\leq X\leq L,0\leq t\leq T]$, where $u(x,t)=(u_1(x,t),u_2(x,t),\cdots,u_m(x,t)),\phi (x),\psi_{0k}(t),\psi_{1k}(t),F(x,t,u,u_x,\cdots,u_x 2M)$ are $m$-dimensional vector functions, and $A(x,t,u,u_x,\cdots,u_x2M-1)$ is an $m\times m$ positive definite matrix. The existence and uniqueness of solution for the finite difference system are proved by fixed-point theory. Stability, convergence and error estimates are derived. 相似文献
20.
判断矩阵一致性是群体综合评价的重要内容。一致性可以反映专家群体就所有可能的替代方案达成完全一致的意见,利用一致性测度可以衡量评价者之间的差异,也是共识判断的基础。文章针对加权幂平均复合判断矩阵中存在的一致性问题进行研究,从幂平均次数对复合判断矩阵影响的角度,分析幂平均次数对一致性比率的影响程度,揭示两者之间的变化规律;研究专家判断矩阵的阶数对一致性比率的作用;从群体专家权重的角度,研究权重对复合判断矩阵一致性比率的敏感性。结果表明:(1)幂平均的次数会影响复合判断矩阵的一致性,幂平均的次数在有限区间内保证复合判断矩阵的满意一致性,有限区间长度同时依赖于判断矩阵的阶数与幂平均的次数,且一致性比率是关于幂平均次数的凹函数;(2)判断矩阵的阶数越高,专家给出判断矩阵的难度加大,然而随着判断矩阵阶数的升高,一致性比率会呈递减趋势;(3)专家的权数对于一致性比率影响较小,即专家权数的灵敏度较低,给定权数的扰动后不会影响复合判断矩阵的满意一致性。 相似文献