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SMOOTH: 作品数：571被引量：1023H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：王延军马保国张杰胡晓楠孟广武更多>>; 相关机构：延安大学聊城大学北方工业大学首都师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划陕西省教育厅科研计划项目延安大学重点科研项目更多>>

THREE KINDS OF DENTABILITIES IN BANACH SPACES AND THEIR APPLICATIONS: 《Acta Mathematica Scientia》2024年第2期445-454,共10页张子厚周晶; supported by the National Natural Science Foundation of China(12271344);the Natural Science Foundation of Shanghai(23ZR1425800)。; In this paper,we study some dentabilities in Banach spaces which are closely related to the famous Radon-Nikodym property.We introduce the concepts of the weak^(*)-weak denting point and the weak^(*)-weak^(*)denting p...; 关键词：weak^(*)-weak denting point nearly weak dentability very smooth space point of weak^(*)-weak continuity extreme point approximatively weak compactness w-strong proximinality REFLEXIVITY

A SUPERLINEARLY CONVERGENT SPLITTING FEASIBLE SEQUENTIAL QUADRATIC OPTIMIZATION METHOD FOR TWO-BLOCK LARGE-SCALE SMOOTH OPTIMIZATION: 《Acta Mathematica Scientia》2023年第1期1-24,共24页简金宝张晨刘鹏杰; supported by the National Natural Science Foundation of China(12171106);the Natural Science Foundation of Guangxi Province(2020GXNSFDA238017 and 2018GXNSFFA281007);the Shanghai Sailing Program(21YF1430300)。; This paper discusses the two-block large-scale nonconvex optimization problem with general linear constraints.Based on the ideas of splitting and sequential quadratic optimization(SQO),a new feasible descent method fo...; 关键词：large scale optimization two-block smooth optimization splitting method feasible sequential quadratic optimization method superlinear convergence

COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES被引量：3: 《Acta Mathematica Scientia》2017年第5期1319-1330,共12页邱德华陈平炎 Volodin ANDREI; supported by the National Science Foundation of China(11271161); In this paper, the complete moment convergence for L~p-mixingales are studied.Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued L~p-mixingales by utilizing th...; 关键词：complete moment convergence q-smooth Banach space L^p-mixingales

GRADIENT ESTIMATES AND ENTROPY FORMULAE FOR WEIGHTED p-HEAT EQUATIONS ON SMOOTH METRIC MEASURE SPACES被引量：4: 《Acta Mathematica Scientia》2013年第4期963-974,共12页王宇钊杨杰陈文艺; supported by the Fundamental Research Fund for the Central Universities; Let （M,g, e^-fdv） be a smooth metric measure space. In this paper, we con- sider two nonlinear weighted p-heat equations. Firstly, we derive a Li-Yau type gradient estimates for the positive solutions to the followi...; 关键词：gradient estimates weighted p-heat equation entropy monotonicity formula m-Bakry-t^mery Ricci curvature

GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS被引量：3: 《Acta Mathematica Scientia》2010年第5期1614-1618,共5页陈立陈文艺; supported by NSFC (10471108,10631020); For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classica...; 关键词：gradient estimate f-harmonic function Bakry-Emery Ricci tensor

RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC被引量：4: 《Acta Mathematica Scientia》2009年第5期1481-1488,共8页林娟王传荣; supported by Natural Science Foundation of China (10071016);the Natural Science Foundation of Fujian Province (2008J0187);the Science and Technology Foundation of Education Department of Fujian Province (JA08255), China; By dint of the stability of Cauchy-type integral with kernel density of class H＊ for an open arc, this paper discusses the stability of the solution of Riemann boundary value problem with respect to the perturbation ...; 关键词：open arc Riemann boundary value problem smooth perturbation STABILITY

A SEMI-CONJUGATE MATRIX BOUNDARY VALUE PROBLEM FOR GENERAL ORTHOGONAL POLYNOMIALS ON AN ARBITRARY SMOOTH JORDAN CURVE被引量：1: 《Acta Mathematica Scientia》2008年第2期401-407,共7页杜志华; RFDP of Higher Education(20060486001);NNSF of China(10471107); In this article, the author characterizes orthogonal polynomials on an arbitrary smooth Jordan curve by a semi-conjugate matrix boundary value problem, which is different from the Riemann-Hilbert problems that appear ...; 关键词：Semi-conjugate matrix boundary value problem orthogonal polynomials smooth Jordan curve

A NOTE ON PERTURBATION OF NON-SYMMETRIC DIRICHLET FORMS BY SIGNED SMOOTH MEASURES被引量：3: 《Acta Mathematica Scientia》2007年第1期219-224,共6页陈传钟; This research is supported by the NSFC and;NSF of Hainan Province (Nos. 80529 and 10001); This article discusses the perturbation of a non-symmetric Dirichlet form, （ε, D（ε））, by a signed smooth measure u, where u=u1 -u2 with u1 and u2 being smooth measures. It gives a sufficient condition for the pe...; 关键词：Non-symmetric Dirichlet form signed smooth measure perturbation of Dirichlet form generalized Feynman-Kac semigroup

A NOTE ON THE EXISTENCE AND NONEXISTENCE OF GLOBALLY BOUNDED CLASSICAL SOLUTIONS FOR NONISENTROPIC GAS DYNAMICS: 《Acta Mathematica Scientia》2006年第3期537-540,共4页林龙威黄锡荣; Existence of globally bounded classical solution for nonisentropic gas dynamics system has long been studied, especially in the case of polytropic gas. In [4], Liu claimed that sufficient condition has been establishe...; 关键词：Nonisentropic gas dynamics system global smooth resolvability Cauchy problem

D_∞-APPROXIMATION OF PRODUCT VARIATIONS OF TWO PARAMETER SMOOTH SEMIMARTINGALES: 《Acta Mathematica Scientia》2004年第2期235-246,共12页刘继成; Work supported by Project 973; Let X be a two parameter smooth semimartingale and (?) be its process of the product variation. It is proved that (?) can be approximated as D_∞-limit of sums of its discrete product variations as the mesh of divisio...; 关键词：Malliavin calculus D_∞-Approximation two parameter smooth semimartingale product variation quasi sure

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