MORREY

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STRICHARTZ AND SMOOTHING ESTIMATES FOR DISPERSIVE SEMI-GROUP e^(-itP(D)) IN WEIGHTED L^(2) SPACES AND THEIR APPLICATIONS
《Acta Mathematica Scientia》2025年第2期401-415,共15页Jiecheng CHEN Shaolei RU Chenjing WU 
supported by the NSFC(12071437);the National Key R&D Program of China(2022YFA1005700).
Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1]....
关键词：Strichartz estimates smoothing estimates Morrey-Campanato class weighted L^(2)spaces WELL-POSEDNESS 
SHARP MORREY REGULARITY THEORY FOR A FOURTH ORDER GEOMETRICAL EQUATION被引量：1
《Acta Mathematica Scientia》2024年第2期420-430,共11页向长林 郑高峰 
supported by the National Natural Science Foundation of China(12271296,12271195).
This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+...
关键词：fourth order elliptic equation regularity theory Morrey space decay estimates Riesz potential 
WELL-POSEDNESS AND STABILITY FOR THE GENERALIZED INCOMPRESSIBLE MAGNETO-HYDRODYNAMIC EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES
《Acta Mathematica Scientia》2019年第6期1551-1567,共17页Azzeddine EL BARAKA Mohamed TOUMLILIN 
This paper concerns the Cauchy problem of the 3D generalized incompressible magneto-hydrodynamic(GMHD) equations. By using the Fourier localization argument and the Littlewood-Paley theory, we get local well-posedness...
关键词：magneto-hydrodynamic Fourier-Besov-Morrey space STABILITY 
POINTWISE MULTIPLIERS FOR LOCALIZED MORREY-CAMPANATO SPACES ON RD-SPACES被引量：2
《Acta Mathematica Scientia》2014年第6期1677-1694,共18页林海波 杨大春 
supported by the National Natural Science Foundation of China(11301534);the National Natural Science Foundation of China(11171027 and 11361020);Da Bei Nong Education Fund(1101-2413002);Chinese Universities Scientific Fund(2013QJ003);the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003);the Fundamental Research Funds for Central Universities of China(2012LYB26 and 2012CXQT09)
In this article, the authors characterize pointwise multipliers for localized MorreyCampanato spaces, associated with some admissible functions on RD-spaces, which include localized BMO spaces as a special case. The r...
关键词：RD-space pointwise multiplier localized Morrey-Campanato space BMO space 
REGULARITY CRITERIA FOR WEAK SOLUTION TO THE 3D MAGNETOHYDRODYNAMIC EQUATIONS被引量：2
《Acta Mathematica Scientia》2012年第3期1063-1072,共10页王玉柱 王书彬 王银霞 
supported in part by the NNSF of China (11101144,11171377);Research Initiation Project for High-level Talents (201031) of North China University of Water Resources and Electric Power
In this article, regularity criteria for the 3D magnetohydrodynamic equations are investigated. Some sufficient integrability conditions on two components or the gradient of two components of u ＋ B and u - B in Morre...
关键词：Magnetohydrodynamic equations regularity criteria Morrey-Campanato space 
A GENERALIZATION OF LEBESGUE DIFFERENTIAL THEOREM AND ITS APPLICATION被引量：2
《Acta Mathematica Scientia》2001年第1期109-113,共5页周振荣 
The project is supported by the Natural Science Foundation of China
The author generalizes the classical Lebesgue differential theorem to the case of rather general metrics. Then. the author applies it to the subelliptic metric to check the integral characterization of Holder continuo...
关键词：Morrey's space Campanato's space translation-invariance 
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