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LDER: 作品数：202被引量：194H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘永宏褚玉明梁廷徐秀斌危启才更多>>; 相关机构：中山大学浙江师范大学河北师范大学重庆大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金浙江省自然科学基金河北省自然科学基金更多>>

Hölder Derivative of Harmonic Functions on Sierpinski Gasket: 《Journal of Applied Mathematics and Physics》2025年第2期465-474,共10页Guangjun Yang Ping Wang; In the past years, we established analytic expressions of various fractals and discussed Hölder derivatives of the expressions. Based on our earlier results, we will study the properties of harmonic functions on a ver...; 关键词：Holder Derivative Harmonic Function Sierpinski Gasket

Strong Feller Property for SDEs with Super-linear Drift and Hölder Diffusion Coefficients: 《应用数学》2024年第4期1066-1073,共8页WANG Yanmin SHA Xiang GUO Zhongkai; Supported by the National Natural Science Foundation of China(11926322);the Fundamental Research Funds for the Central Universities of South-Central MinZu University(CZY22013,3212023sycxjj001)。; In this paper,we investigate the strong Feller property of stochastic differential equations(SDEs)with super-linear drift and Hölder diffusion coefficients.By utilizing the Girsanov theorem,coupling method,truncation ...; 关键词：Super-linear drift Hölder continuous diffusion SDEs Strong Feller

From Hölder Continuous Solutions of 3D Incompressible Navier-Stokes Equations to No-Finite Time Blowup on [ 0,∞ ]: 《Advances in Pure Mathematics》2024年第9期695-743,共49页Terry E. Moschandreou; This article gives a general model using specific periodic special functions, that is, degenerate elliptic Weierstrass P functions composed with the LambertW function, whose presence in the governing equations through...; 关键词：Navier-Stokes Periodic Navier-Stokes Equations 3-Torus PERIODIC Ball Sphere Hölder Continuous Functions Uniqueness Angular Velocity Velocity in Terms of Vorticity

Zassenhaus Lemma,Schreier Refinement Theorem,and Jordan–Hölder Theorem for Gyrogroups: 《Algebra Colloquium》2024年第2期323-332,共10页Prathomjit Khachorncharoenkul Rasimate Maungchang Teerapong Suksumran L.A.Bokut; In this article,we extend the Zassenhaus lemma(also called the butterfly lemma)and the Schreier refinement theorem to the case of gyrogroups.In addition,we use these results to prove the Jordan–Hölder theorem for gyr...; 关键词：Zassenhaus lemma Schreier refinement theoremg yrogroup subgyrogroup diagram normal subgyrogroup

非正则区域上的加权分数阶Sobolev-Poincaré不等式: 《数学学报（中文版）》2024年第3期428-443,共16页宣一; 本文研究了非正则区域的加权分数阶Sobolev-Poincaré不等式.这里考虑的权重是到边界距离的某次幂,并且这些区域是所谓的-John区域和β-Hölder区域.我们的主要结果将Hajlasz-Koskela的文[J.Lond.Math.Soc.,1998,58(2):425-450]结果从经...; 关键词：s-John区域 β-Hölder区域分数阶Sobolev-Poincaré不等式容量估计权

THE WEIGHTED KATO SQUARE ROOT PROBLEMOF ELLIPTIC OPERATORS HAVING A BMOANTI-SYMMETRICPART: 《Acta Mathematica Scientia》2024年第2期532-550,共19页马文贤杨四辈; supported by the Key Project of Gansu Provincial National Science Foundation(23JRRA1022);the National Natural Science Foundation of China(12071431);the Fundamental Research Funds for the Central Universities(lzujbky-2021-ey18);the Innovative Groups of Basic Research in Gansu Province(22JR5RA391).; Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted...; 关键词：elliptic operator Kato square root problem Muckenhoupt weight Riesz transform reverse Hölder inequality

Existence of a Hölder Continuous Extension on Embedded Balls of the 3-Torus for the Periodic Navier Stokes Equations: 《Advances in Pure Mathematics》2024年第2期118-138,共21页Terry E. Moschandreou; This article gives a general model using specific periodic special functions, which is degenerate elliptic Weierstrass P functions whose presence in the governing equations through the forcing terms simplify the perio...; 关键词：Navier-Stokes PNS 3-Torus PERIODIC Ball Sphere Hölder CONTINUOUS Riemann-Surface Uniqueness

非局部随机扩散方程解的HO¨</sup>lder连续性: 《理论数学》2023年第12期3380-3394,共15页贾倩王伟; 本文的目标是获得非局部随机扩散方程解的Hölder连续性。利用Campanato估计和Sobolev嵌入定理,首先证明了非局部随机扩散方程的温和解的Hölder连续性,即解u属于空间Cβ(DT;Lp(Ω))。其次,通过使用尾估计,得到了Lp(Ω;Cβ*(DT)中的温和...; 关键词：分数布朗运动 HO¨lder连续性 L^∞估计尾估计

Uniform Hölder Bounds for Competition Systems with Strong Interaction on a Subdomain: 《Journal of Applied Mathematics and Physics》2023年第6期1525-1540,共16页Jiahao Ni Shan Zhang; We prove the uniform Hölder bounds of solutions to a singularly perturbed elliptic system arising in competing models in population dynamics. In this system, two species compete to some extent throughout the whole dom...; 关键词：Singularly Perturbation SUBDOMAIN Free Boundary Problem Liouville Type Theorem

Hölder Derivative of the Koch Curve: 《Journal of Applied Mathematics and Physics》2023年第1期101-114,共14页Guangjun Yang Xiaoling Yang Ping Wang; In this paper, we introduce a K Hölder p-adic derivative that can be applied to fractal curves with different Hölder exponent K. We will show that the Koch curve satisfies the Hölder condition with expo...; 关键词：FRACTAL Koch Curve Hölder Inequality Hölder Derivative

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