NON-HOMOGENEOUS

作品数:133被引量:211H指数:7
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Commutators of Fractional Maximal Functions on Orlicz Spaces over Non-Homogeneous Metric Spaces
《Journal of Mathematical Research with Applications》2024年第6期782-794,共13页Guanghui LU Xuemei LI 
the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);Master Foundation of Northwest Normal University(Grant No.2022KYZZ-S121).
Let(X,d,μ)be a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition.In this setting,the authors prove that the commutator M_(b)^(α)formed by b∈RBMO(...
关键词:Non-homogeneous metric measure space fractional maximal function COMMUTATOR space RBMO(μ) Orlicz space 
Natural vibration and critical velocity of translating Timoshenko beam with non-homogeneous boundaries被引量:1
《Applied Mathematics and Mechanics(English Edition)》2024年第9期1523-1538,共16页Yanan LI Jieyu DING Hu DING Liqun CHEN 
Project supported by the YEQISUN Joint Funds of the National Natural Science Foundation of China(No.U2341231);the National Natural Science Foundation of China(No.12172186)。
In most practical engineering applications,the translating belt wraps around two fixed wheels.The boundary conditions of the dynamic model are typically specified as simply supported or fixed boundaries.In this paper,...
关键词:translating beam Timoshenko beam non-homogeneous boundary natural frequency critical velocity 
On the Method of Solution for the Non-Homogeneous Generalized Riemann-Hilbert Boundary Value Problems
《Chinese Quarterly Journal of Mathematics》2024年第3期262-269,共8页ZHANG Wen-wen LI Ping-run 
Supported by National Natural Science Foundation of China(Grant No.11971015).
This paper studies the non-homogeneous generalized Riemann-Hilbert(RH)problems involving two unknown functions.Using the uniformization theorem,such problems are transformed into the case of homogeneous type.By the th...
关键词:Generalized Riemann-Hilbert problem Uniformization theorem Analytic solution Sokhotski-Plemelj formula 
Bilinear Strongly Singular Calderón-Zygmund Operators and Their Commutators on Non-Homogeneous Generalized Morrey Spaces被引量:1
《Journal of Mathematical Research with Applications》2024年第1期43-62,共20页Guanghui LU Miaomiao WANG 
Supported by the National Natural Science Foundation of China(Grant No.12201500);the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);the Young Teachers’Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07)。
The main goal of this paper is to establish the boundedness of bilinear strongly singular operator T^(-)and its commutator Tb_(1),b_(2)on generalized Morrey spaces M_(p)^(u)(μ)over non-homogeneous metric measure spac...
关键词:non-homogeneous metric measure space bilinear strongly singular Calder´on-Zygmund operator commutator space~RBMO(μ) generalized Morrey space 
Robust adaptive radar beamforming based on iterative training sample selection using kurtosis of generalized inner product statistics
《Journal of Systems Engineering and Electronics》2024年第1期24-30,共7页TIAN Jing ZHANG Wei 
supported by the National Natural Science Foundation of China(62371049)。
In engineering application,there is only one adaptive weights estimated by most of traditional early warning radars for adaptive interference suppression in a pulse reputation interval(PRI).Therefore,if the training s...
关键词:adaptive radar beamforming training sample selection non-homogeneous detector electronic jamming jamming suppression 
C^(α)regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
《Science China Mathematics》2024年第1期23-44,共22页Wendong Wang Liqun Zhang 
supported by National Natural Science Foundation of China(Grant No.12071054);National Support Program for Young Top-Notch Talents;Dalian High-Level Talent Innovation Project(Grant No.2020RD09);supported by National Natural Science Foundation of China(Grant Nos.11471320,11631008 and 12031012)。
We consider a class of non-homogeneous ultraparabolic differential equations with singular drift terms arising from some physical models,and prove that weak solutions are H?lder continuous,which are sharp in some sens...
关键词:ultraparabolic equations Moser iteration Poincare inequality C^a regularity 
Global Solutions and Interactions of Non-selfsimilar Elementary Waves for n-D Non-homogeneous Burgers Equation
《Acta Mathematicae Applicatae Sinica》2023年第4期830-853,共24页Yuan-an ZHAO Gao-wei CAO Xiao-zhou YANG 
partly supported by the National Natural Science Foundation of China (Grant11701551 and Grant 11971024);partly supported by the National Natural Science Foundation of China (Grant 11471332)。
We investigate the global structures of the non-selfsimilar solutions for n-dimensional(n-D) nonhomogeneous Burgers equation, in which the initial data has two different constant states, which are separated by a(n-1)-...
关键词:non-homogeneous burgers equation n-dimensional Riemann problem global singular structure non-selfsimilar solution interactions of elementary waves 
A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms
《Communications in Computational Physics》2023年第6期208-234,共27页Jiahe Yang Wenjun Ying 
supported by the National Key R&D Program of China(Project No.2020YFA0712000);supported by the Shanghai Science and Technology Innovation Action Plan in Basic Research Area(Project No.22JC1401700);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA25010405);the National Natural Science Foundation of China(Grant No.DMS-11771290).
This work presents a fast Cartesian grid-based integral equation method for unbounded interface problems with non-homogeneous source terms.The unbounded interface problem is solved with boundary integral equation meth...
关键词:Interface problem unbounded domain boundary integral equation kernel-free method auxiliary circle Cartesian grid method fast algorithm 
Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions
《Advances in Applied Mathematics and Mechanics》2022年第6期1302-1332,共31页Shengnan Kang Kenzu Abdella Macro Pollanen Shuhua Zhang Liang Wang 
the Natural Sciences and Engineering Research Council of Canada,and the National Natural Science Foundation of China(Nos.11771322,and 72071140).
This paper presents the numerical solution of the time-dependent Gross-Pitaevskii Equation describing the movement of quantum mechanics particles under non-homogeneous boundary conditions.Due to their inherent non-lin...
关键词:Quantum mechanics spectral method time-dependent partial differential equation boundary value problem. 
Isogeometric Boundary Element Method for Two-Dimensional Steady-State Non-Homogeneous Heat Conduction Problem
《Computer Modeling in Engineering & Sciences》2022年第8期471-488,共18页Yongsong Li Xiaomeng Yin Yanming Xu 
supported by Key Scientific Research Projects of Universities and Key Scientific and Technological Projects in Henan Province,which numbers are 21A440015,22A570007 and 212102310601,respectively.
The isogeometric boundary element technique(IGABEM)is presented in this study for steady-state inhomogeneous heat conduction analysis.The physical unknowns in the boundary integral formulations of the governing equati...
关键词:Isogeometric analysis NURBS boundary element method heat conduction NON-HOMOGENEOUS radial integration method 
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