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HAUSDORFF_DIMENSION: 作品数：158被引量：118H指数：5; 导出分析报告; 相关作者：王贺元钟婷姜海益陆式盘杨竹莘更多>>; 相关机构：辽宁工业大学东北财经大学浙江大学武汉大学更多>>; 相关期刊：《Journal of Partial Differential Equations》《Applied Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》更多>>; 相关基金：国家自然科学基金上海市自然科学基金广东省自然科学基金武汉大学校科研和教改项目更多>>

Property of Self-similar-like Set: 《Acta Mathematicae Applicatae Sinica》2015年第2期375-386,共12页Zhi-ying WEN Xuan ZHAO; Supported by the National Natural Science Foundation of China(No.61071066); Self-similar sets（SSS） are the most important class of Fractals and play an important role in the studies in Fractal. In this note, we introduce self-similar-like sets（SSLS） which generalize self-similar sets,we w...; 关键词：self-similar sets self-similar-like set generating set Hausdorff dimension

The Fractal Dimensions of the Level Sets of the Generalized Iterated Brownian Motion: 《Acta Mathematicae Applicatae Sinica》2013年第3期597-602,共6页Chang-qing TONG Zheng-yan LIN Jing ZHENG; Supported by the National Science Foundation of Zhejiang(No.LQ12F03003); Let{W1（t）, t∈R＋} and {W2（t）, t∈R＋} be two independent Brownian motions with W1（0） = W2（0） = 0. {H （t） = W1（｜W2（t）｜）, t ∈R＋} is called a generalized iterated Brownian motion. In this paper, the Ha...; 关键词：Hausdorff dimension packing dimension local time generalized iterated Brownian motion

Dimensional Results for Cartesian Products of Homogeneous Moran Sets被引量：1: 《Acta Mathematicae Applicatae Sinica》2012年第4期673-680,共8页Li CAO Xing-Gang HE; Supported by the National Natural Science Foundation of China (No.10771082 and 10871180); M（J, {ms ＊ ns}, {Cs}） be the collection of Cartesian products of two homogenous Moran sets with the same ratios {cs} Where J = [0, 1] × [0, 1]. Then the maximal and minimal values of the Hausdorff dimensions for t...; 关键词：Homogeneous Moran sets Cartesian product Hausdorff dimension

Polar Functions of Multiparameter Bifractional Brownian Sheets: 《Acta Mathematicae Applicatae Sinica》2009年第2期255-272,共18页Zhen-long Chen; Supported by the National Natural Science Foundation of China(No.70471071);the Key Research Base for Humanities and Social Sciences of Zhejiang Provincial High Education Talents(Statistics of Zhejiang Gongshang University).; Let B^H,K ：（B^H,K（t）, t ∈R＋^N} be an （N,d）-bifractional Brownian sheet with Hurst indices H = （H1,..., HN） ∈ （0, 1）^N and K = （K1,..., KN）∈ （0, 1]^N. The characteristics of the polar functions for B^...; 关键词：Bifractional Brownian sheet polar function Hausdorff dimension packing dimension capacity

The Global Attractors for the Dissipative Generalized Hasegawa-Mima Equation被引量：1: 《Acta Mathematicae Applicatae Sinica》2008年第1期19-28,共10页Rui-feng Zhang; Supported by the Natural Science Foundation of Henan Education Department (No.2007110004) ; Supported by the Natural Science Foundation of Henan University (No.06YBZR027).; The long time behavior of solutions of the generalized Hasegawa-Mima equation with dissipation term is considered. The existence of global attractors of the periodic initial value problem is proved, and the estimate o...; 关键词：Hasegawa-Mima equation global attractors hausdorff dimension fractal dimension

Polar Sets and Relative Dimension for Generalized Brownian Sheet: 《Acta Mathematicae Applicatae Sinica》2007年第4期579-592,共14页Hui-qiong Li Zhen-long Chenu; Key Research Base for Humanities and Social Sciences of Zhejiang Provincial High Education Talents(Statistics of Zhejiang Gongshang University); Let W^～=^～{W^～（t）; t∈ R＋^N） be a d-dimensional N-parameter generalized Brownian sheet. Necessary and sufficient conditions for a compact set E × F to be a polar set for （t,W^～（t）） are proved. It is also ...; 关键词：Generalized Brownian sheet polar set Hausdorff dimension packing dimension

LONG TIME BEHAVIOR OF SOLUTIONS OF DAVEY-STEWARTSON EQUATIONS: 《Acta Mathematicae Applicatae Sinica》2001年第1期86-97,共12页郭柏灵李用生; This project is supported Supported by National Natural Science Foundation of China.; In the present paper we study the long time behavior of solutions to the Davey-Stewartson system in the Banach spaces. We make use of the properties of the semigroup generated by the linear principal operator in Lp() ...; 关键词：Davey-Stewartson equations bounded absorbing set global attractor Hausdorff dimension fractal dimension

THE FINITE DIMENSIONAL BEHAVIOUR FOR THE HIGHER-ORDER NONLINEAR GINZBURG-LANDAU SYSTEM IN n SPATIAL DIMENSIONS: 《Acta Mathematicae Applicatae Sinica》2000年第4期386-395,共10页黄海洋; the National Natural Science Foundation of China (No.19571010).; In this paper, we study the 2m-order nonlinear Ginzburg-Landau system in n spatial dimensions. We show the existence and uniqueness of the global generalized solution, and the existence of the global attractor for thi...; 关键词：Generalized solution global attractor Hausdorff dimension fractal dimension Ginzburg-Landau equat?

ATTRACTOR AND DIMENSION FOR STRONGLY DAMPED NONLINEAR WAVE EQUATION: 《Acta Mathematicae Applicatae Sinica》2000年第3期266-273,共8页周盛凡; In this paper, we prove the existence of the global attractor and obtain an estimate of the upper bound of Hausdorff dimension of the attractor for strongly damped nonlinear wave equation with Dirichlet boundary condi...; 关键词：Wave equation global attractor Hausdorff dimension equivalent norm

HAUSDORFF DIMENSION OF CUTSET OF COMPLEX VALUED RADEMACHER SERIES被引量：1: 《Acta Mathematicae Applicatae Sinica》2000年第2期140-148,共9页吴敏; the National Natural Science Foundation of China !19771031; Cutsets of series form an important class of fractal sets. In this paper, the author obtains the Hausdoff dimension of outset of complex valued Rademacher serise.; 关键词：Hausdorff dimension fractal set outset

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