期刊文献+
共找到15篇文章
< 1 >
每页显示 20 50 100
L^(p)-Estimate for Linear Forward-Backward Stochastic Differential Equations
1
作者 Bing XIE Zhi Yong YU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2023年第5期827-845,共19页
This paper is concerned with coupled linear forward-backward stochastic differential equations(FBSDEs,for short).When the homogeneous coefficients are deterministic(the non-homogeneous coefficients can be random),we o... This paper is concerned with coupled linear forward-backward stochastic differential equations(FBSDEs,for short).When the homogeneous coefficients are deterministic(the non-homogeneous coefficients can be random),we obtain an L^(P)-result(p>2),including the existence and uniqueness of the p-th power integrable solution,a p-th power estimate,and a related continuous dependence property of the solution on the coefficients,for coupled linear FBSDEs in the monotonicity framework over large time intervals.In order to get rid of the stubborn constraint commonly existing in the literature,i.e.,the Lipschitz constant of σ with respect to z is very small,we introduce a linear transformation to overcome the difficulty on small intervals,and then"splice"the L^(P)-results obtained on many small intervals to yield the desired one on a large interval. 展开更多
关键词 Forward-backward stochastic differential equation L^(P)-estimate monotonicity condition large interval
原文传递
Partial C^0-Estimate for Kähler–Einstein Metrics 被引量:3
2
作者 Gang Tian 《Communications in Mathematics and Statistics》 SCIE 2013年第2期105-113,共9页
In this short note,we give a proof of our partial C^0-estimate for Kähler-Einstein metrics.Our proof uses a compactness theorem of Cheeger-Colding-Tian and L^2-estimate for∂^--operator.
关键词 Kähler-Einstein metrics Gromov-Hausdorff limit Partial C^0-estimate
原文传递
L∞-Bounds of Solutions for Strongly Nonlinear Elliptic Problems with Two Lower Order Terms
3
作者 Youssef Akdim Mohammed Belayachi Mostafa E1 Moumni 《Analysis in Theory and Applications》 CSCD 2017年第1期46-58,共13页
In this work, we will prove the existence of bounded solutions m W0' (f) N L (fl) for nonlinear elliptic equations - div(a(x,u, Vu)) +g(x,u,Vu) + H(x, Vu) = f, where a, g and H are Carath6odory function... In this work, we will prove the existence of bounded solutions m W0' (f) N L (fl) for nonlinear elliptic equations - div(a(x,u, Vu)) +g(x,u,Vu) + H(x, Vu) = f, where a, g and H are Carath6odory functions which satisfy some conditions, and the rizht hand side f belongs to W-l'q (Ω). 展开更多
关键词 L∞-estimate nonlinear elliptic equations REARRANGEMENT Sobolev spaces.
下载PDF
DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW WITH DEGENERATE VISCOSITY ON HALF SPACE
4
作者 刘艳红 《Acta Mathematica Scientia》 SCIE CSCD 2010年第1期47-54,共8页
We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation law with degenerate viscosity in several dimensions on the half-line space, where the ... We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation law with degenerate viscosity in several dimensions on the half-line space, where the corresponding one-dimensional problem admits the rarefaction wave as an asymptotic state. The analysis is based on the standard L2-energy method and L1-estimate. 展开更多
关键词 planar viscous rarefaction wave degenerate viscosity energy method L1-estimate decay rates boundary layer
下载PDF
The partial C^(0)-estimate along a general continuity path and applications
5
作者 Ke Feng Liangming Shen 《Science China Mathematics》 SCIE CSCD 2021年第11期2495-2520,共26页
We establish a new partial C^(0)-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted(1,1)-form on Fano manifolds.As an application,this estimat... We establish a new partial C^(0)-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted(1,1)-form on Fano manifolds.As an application,this estimate enables us to show the reductivity of the automorphism group of the limit space,which leads to a new proof of the Yau-Tian-Donaldson conjecture. 展开更多
关键词 partial C0-estimate K?hler-Einstein metric conic K?hler metric
原文传递
Weighted L^2-Estimates of Solutions for Damped Wave Equations with Variable Coefficients
6
作者 YAO Pengfei ZHANG Zhife 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2017年第6期1270-1292,共23页
The authors establish weighted L^2-estimates of solutions for the damped wave equations with variable coefficients utt-div A(x)▽u + au_t = 0 in IR^nunder the assumption a(x) ≥ a_0[1 + ρ(x)]^(-l),where a_0 > 0, l... The authors establish weighted L^2-estimates of solutions for the damped wave equations with variable coefficients utt-div A(x)▽u + au_t = 0 in IR^nunder the assumption a(x) ≥ a_0[1 + ρ(x)]^(-l),where a_0 > 0, l < 1, ρ(x) is the distance function of the metric g = A^(-1)(x) on IR^n. The authors show that these weighted L^2-estimates are closely related to the geometrical properties of the metric g = A^(-1)(x). 展开更多
关键词 Distance function of a metric Riemannian metric wave equation with variable coefficients weighted L^2-estimate
原文传递
A converse of Hormander's L^(2)-estimate and new positivity notions for vector bundles
7
作者 Genki Hosono Takahiro Inayama 《Science China Mathematics》 SCIE CSCD 2021年第8期1745-1756,共12页
We study conditions of Hormander's L^(2)-estimate and the Ohsawa-Takegoshi extension theorem.Introducing a twisted version of the Hormander-type condition,we show a converse of Hormander's L^(2)-estimate under... We study conditions of Hormander's L^(2)-estimate and the Ohsawa-Takegoshi extension theorem.Introducing a twisted version of the Hormander-type condition,we show a converse of Hormander's L^(2)-estimate under some regularity assumptions on an n-dimensional domain.This result is a partial generalization of the one-dimensional result obtained by Berndtsson(1998).We also define new positivity notions for vector bundles with singular Hermitian metrics by using these conditions.We investigate these positivity notions and compare them with classical positivity notions. 展开更多
关键词 L^(2)-estimate singular Hermitian metrics Ohsawa-Takegoshi L^(2)-extension theorems
原文传递
Hybrid Optimization of Support Vector Machine for Intrusion Detection
8
作者 席福利 郁松年 +1 位作者 HAO Wei 《Journal of Donghua University(English Edition)》 EI CAS 2005年第3期51-56,共6页
Support vector machine (SVM) technique has recently become a research focus in intrusion detection field for its better generalization performance when given less priori knowledge than other soft-computing techniques.... Support vector machine (SVM) technique has recently become a research focus in intrusion detection field for its better generalization performance when given less priori knowledge than other soft-computing techniques. But the randomicity of parameter selection in its implement often prevents it achieving expected performance. By utilizing genetic algorithm (GA) to optimize the parameters in data preprocessing and the training model of SVM simultaneously, a hybrid optimization algorithm is proposed in the paper to address this problem. The experimental results demonstrate that it’s an effective method and can improve the performance of SVM-based intrusion detection system further. 展开更多
关键词 intrusion detection system IDS) support vector machine SVM) genetic algorithm GA system call trace ξα-estimator sequential minimal optimization(SMO)
下载PDF
Penalized M-Estimation Based on Standard Error Adjusted Adaptive Elastic-Net
9
作者 WU Xianjun WANG Mingqiu +2 位作者 HU Wenting TIAN Guo-Liang LI Tao 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第3期1265-1284,共20页
When there are outliers or heavy-tailed distributions in the data, the traditional least squares with penalty function is no longer applicable. In addition, with the rapid development of science and technology, a lot ... When there are outliers or heavy-tailed distributions in the data, the traditional least squares with penalty function is no longer applicable. In addition, with the rapid development of science and technology, a lot of data, enjoying high dimension, strong correlation and redundancy, has been generated in real life. So it is necessary to find an effective variable selection method for dealing with collinearity based on the robust method. This paper proposes a penalized M-estimation method based on standard error adjusted adaptive elastic-net, which uses M-estimators and the corresponding standard errors as weights. The consistency and asymptotic normality of this method are proved theoretically. For the regularization in high-dimensional space, the authors use the multi-step adaptive elastic-net to reduce the dimension to a relatively large scale which is less than the sample size, and then use the proposed method to select variables and estimate parameters. Finally, the authors carry out simulation studies and two real data analysis to examine the finite sample performance of the proposed method. The results show that the proposed method has some advantages over other commonly used methods. 展开更多
关键词 Adaptive elastic net -estimation oracle property standard error
原文传递
A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients
10
作者 Yu PENG Xiandong SUN Huichun ZHANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2024年第1期1-10,共10页
The authors will use a method in metric geometry to show an L^(P)-estimate for gradient of the weak solutions to elliptic equations with discontinuous coefficients,even the BMO semi-norms of the coefficients are not s... The authors will use a method in metric geometry to show an L^(P)-estimate for gradient of the weak solutions to elliptic equations with discontinuous coefficients,even the BMO semi-norms of the coefficients are not small.They also extend them to the weak solutions to parabolic equations. 展开更多
关键词 L^(p)-estimate Elliptic equation Discontinuous coefficients
原文传递
特征选择和SVM训练模型的联合优化 被引量:17
11
作者 陈光英 张千里 李星 《清华大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第1期9-12,共4页
提出了特征选择和支持向量机(SVM)训练模型的联合优化方法,利用特征选择和训练模型的互相依赖关系来提高SVM性能。该方法包括3个关键技术:优化目标是提高SVM性能,它是由ξα-estimate方法计算出来的;用一个二进制向量表示特征选择,用混... 提出了特征选择和支持向量机(SVM)训练模型的联合优化方法,利用特征选择和训练模型的互相依赖关系来提高SVM性能。该方法包括3个关键技术:优化目标是提高SVM性能,它是由ξα-estimate方法计算出来的;用一个二进制向量表示特征选择,用混合核函数和折中控制参数来表示训练模型;用演化算法来求解联合优化问题。通过使用入侵检测标准数据,比较了联合优化、单独优化和分开优化方法以及遗传算法(GA)和粒子群优化算法(PSO)的使用效果。结果表明:联合优化方法能更好地提高SVM性能,并且收敛速度更快;GA的效果比PSO要好。 展开更多
关键词 特征选择 支持向量机 人工神经网络 混合核函数 遗传算法 粒子群优化 ξα-estimate方法 机器学习
原文传递
ASYMPTOTIC DECAY TOWARD RAREFACTION WAVE FOR A HYPERBOLIC-ELLIPTIC COUPLED SYSTEM ON HALF SPACE 被引量:3
12
作者 Ruan Lizhi Zhu Changjiang 《Journal of Partial Differential Equations》 2008年第2期173-192,共20页
We consider the asymptotic behavior of solutions to a model of hyperbolicelliptic coupled system on the half-line R+ = (0, ∞),with the Dirichlet boundary condition u(0, t) = 0. S. Kawashima and Y. Tanaka [Kyushu... We consider the asymptotic behavior of solutions to a model of hyperbolicelliptic coupled system on the half-line R+ = (0, ∞),with the Dirichlet boundary condition u(0, t) = 0. S. Kawashima and Y. Tanaka [Kyushu J. Math., 58(2004), 211-250] have shown that the solution to the corresponding Cauchy problem behaviors like rarefaction waves and obtained its convergence rate when u_ u+. Our main concern in this paper is the boundary effect. In the case of null-Dirichlet boundary condition on u, asymptotic behavior of the solution (u, q) is proved to be rarefaction wave as t tends to infinity. Its convergence rate is also obtained by the standard L2-energy method and Ll-estimate. It decays much lower than that of the corresponding Cauchy problem. 展开更多
关键词 Hyperbolic-elliptic coupled system rarefaction wave asymptoticdecay rate half space L2-energy method L1-estimate.
原文传递
A Third Derivative Estimate for Monge-Ampere Equations with Conic Singularities(Dedicated to Haim Brezis on the occasion of his 70th birthday) 被引量:1
13
作者 Gang TIAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2017年第2期687-694,共8页
The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C^(2,α)-estimate, for complex MongeAmpere equations in the conic case. This C^(2,α)... The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate, and consequently, a C^(2,α)-estimate, for complex MongeAmpere equations in the conic case. This C^(2,α)-estimate was used by Jeffres-MazzeoRubinstein in their proof of the existence of K¨ahler-Einstein metrics with conic singularities. 展开更多
关键词 Complex Monge-Ampere Conic C^α-estimate
原文传递
Characterizations of plurisubharmonic functions
14
作者 Fusheng Deng Jiafu Ning Zhiwei Wang 《Science China Mathematics》 SCIE CSCD 2021年第9期1959-1970,共12页
We give characterizations of(quasi-)plurisubharmonic functions in terms of L^(p)-estimates of■and Lp-extensions of holomorphic functions.
关键词 plurisubharmonic function H?rmander’s L2-estimate Ohsawa-Takegoshi extension theorem characterization of plurisubharmonicity
原文传递
A SECOND ORDER UNCONDITIONALLY CONVERGENT FINITE ELEMENT METHOD FOR THE THERMAL EQUATION WITH JOULE HEATING PROBLEM
15
作者 Xiaonian Long Qianqian Ding 《Journal of Computational Mathematics》 SCIE CSCD 2022年第3期354-372,共19页
In this paper,we study the finite element approximation for nonlinear thermal equation.Because the nonlinearity of the equation,our theoretical analysis is based on the error of temporal and spatial discretization.We ... In this paper,we study the finite element approximation for nonlinear thermal equation.Because the nonlinearity of the equation,our theoretical analysis is based on the error of temporal and spatial discretization.We consider a fully discrete second order backward difference formula based on a finite element method to approximate the temperature and electric potential,and establish optimal L^(2) error estimates for the fully discrete finite element solution without any restriction on the time-step size.The discrete solution is bounded in infinite norm.Finally,several numerical examples are presented to demonstrate the accuracy and efficiency of the proposed method. 展开更多
关键词 Thermal equation Joule heating Finite element method Unconditional convergence Second order backward difference formula Optimal L^(2)-estimate
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部