MORREY

作品数：129被引量：181H指数：7
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Conditional Regularity of Weak Solutions to the 3D Magnetic Bénard Fluid System
《Journal of Partial Differential Equations》2021年第2期144-169,共26页MA Liangliang 
supported by the National Natural Science Foundation of China(Nos.11571243,11971331),China Scholarship Council(No.202008515084);Opening Fund of Geomathematics Key Laboratory of Sichuan Province(No.scsxdz2020zd02);Teacher's development Scientific Research Staring Foundation of Chengdu University of Technology(No.10912-KYQD2019-07717).
This paper concerns about the regularity conditions of weak solutions to the magnetic Benard fluid system in R^(3).We show that a weak solution(u,b,θ)(·,t)of the 3D magnetic Benard fluid system defined in[0,T),which...
关键词：Magnetic Benard fluid system regularity criteria conditional regularity Morrey-Campanato space Besov space 
Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups
《Journal of Partial Differential Equations》2010年第1期1-15,共15页TANG Sufang WEI Na 
Acknowledgments This work was supported by Specialized Research Fund for the Doctoral Program of Higher Education （Grant No. 200806990032）, the National Natural Science Foundation of China （Grant No. 10871157） and Keji Chuangxin Jijin of Northwestern Polytechnical University （Grant No. 2007KJ01012）. We thank Processor Pengcheng Niu for suggesting this problem and for providing many helpful discussions.
In this paper, by establishing the boundedness of singular integral operators with variable kernels and their commutators with BMO functions on Morrey spaces of homogeneous groups, we prove a local a prior estimate in...
关键词：Homogeneous group parabolic equation VMO singular integral commutator. 
GLOBAL REGULARITY IN HOMOGENEOUS MORREY-HERZ SPACES OF SOLUTIONS TO NONDIVERGENCE ELLIPTIC EQUATIONS WITH VMO COEFFICIENTS被引量：6
《Journal of Partial Differential Equations》2007年第2期97-113,共17页Lu Shanzhen Tao Shuangping 
In this paper, by establishing the boundedness results of singular integral operators and linear commutators, we obtain the global regularity, in homogeneous Morrey-Herz spaces, of strong solutions to nondivergence el...
关键词：Elliptic equation Morrey-Herz space VMO singular integral commutator. 
MORREY REGULARITY OF SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS IN R^n
《Journal of Partial Differential Equations》2003年第2期127-134,共8页ChenYemin 
In this paper,we study the Morrey regularity of solutions to the degenerate elliptic equation-(aijuxi)xj=-(fj)xj in R^n .For this purpose,we introduce four weighted Morrey spaces in R^n.
关键词：正则性 解 退化椭圆方程 加权Morrey空间 加权Poincare不等式 
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