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Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier–Besov–Morrey Spaces

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Acta Mathematica Sinica,English Series 2022年第12期38卷 2187-2198页

作者： Muhammad Zainul ABIDIN jie cheng chen College of Mathematics and Computer Science Zhejiang Normal UniversityJinhua 321004P.R.China

A generalized incompressable magnetohydrodynamics system is considered in this paper.Furthermore, results of global well-posednenss are established with the aid of Littlewood–Paley decomposition and Fourier localization method in mentioned system with small initial condition in the variable exponent Fourier–Besov–Morrey spaces. Moreover, the Gevrey class regularity of the solution is also achieved in this paper.

关键词： Generalized MHD global well-posedness variable exponent Fourier–Besov–Morrey(FBM)space analyticity

L;boundedness of the Fourier integral operator with inhomogeneous phase functions

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Acta Mathematica Sinica,English Series 2022年

作者： Jia Wei DAI jie cheng chen Department of Mathematics Zhejiang Normal University

In this paper, we investigate the L;boundedness of the Fourier integral operator T;with smooth and rough symbols and phase functions which satisfy certain non-degeneracy conditions.In particular, if the symbol a ∈ L;S;, the phase function φ satisfies some measure conditions and ||▽;φ（·, ξ）||;≤ C|ξ|;for all k ≥ 2, ξ = 0, and some > 0, we obtain that Tφ,ais bounded on L;if m

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The (L^p,F_p^(β,∞))-Boundedness of Commutators of Multipliers

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Acta Mathematica Sinica,English Series 2005年第4期21卷 765-772页

作者： Pu ZHANG jie cheng chen Institute of Mathematics Zhejiang University of Sciences Hangzhou 310018 P. R. China Department of Mathematics Zhejiang University Hangzhou 310028 P. R. China

In this paper, we study the commutator generalized by a multiplier and a Lipschitz function. Under some assumptions, we establish the boundedness properties of it from L^P（R^n） into Fp^β,∞（R^n）, the Triebel Lizo... 详细信息

关键词： Multiplier Commutator Lipschitz space Triebel Lizorkin space

Multilinear Hausdorff Operators and Their Best Constants

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Acta Mathematica Sinica,English Series 2012年第8期28卷 1521-1530页

作者： jie cheng chen Da Shan FAN Chun jie ZHANG Department of Mathematics Zhejiang Normal University Department of Mathematics Zhejiang University Department of Mathematics University of Wisconsin-MilwaukeeMilwaukeeWI53201USA School of Science Hangzhou Dianzi University

In this paper, we study two different extensions of the Hausdorff operator to the multilinear case. Boundedness on Lebesgue spaces and Herz spaces is obtained. The bound on the Lebesgue space is optimal. Our results a... 详细信息

关键词： Hausdorff operator multilinear Herz space sharp bounds

Boundedness of an Oscillating Multiplier on Triebel-Lizorkin Spaces

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Acta Mathematica Sinica,English Series 2010年第11期26卷 2071-2084页

作者： Wei CAO jie cheng chen Da Shan FAN Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China Department of Mathematics University of Wisconsin-Milwaukee Milwaukee WI53217 USA

Abstract In this paper, we study Triebel-Lizorkin space estimates for an oscillating multiplier mΩ,α,β. This operator was initially studied by Wainger and by Fefferman-Stein in the Lebesgue spaces. We obtain the bo... 详细信息

关键词： Oscillating multiplier Triebel-Lizorkin spaces atomic decomposition

Approximation of the Fractional Schrodinger Propagator on Compact Manifolds

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Acta Mathematica Sinica,English Series 2021年第10期37卷 1485-1496页

作者： jie cheng chen Da Shan FAN Fa You ZHAO Department of Mathematics Zhejiang Normal UniversityJinhua 321000P.R.China Department of Mathematical Sciences University of Wisconsin–MilwaukeeMilwaukeeWI 53201USA Department of Mathematics Shanghai UniversityShanghai 200444P.R.China

Let L be a second order positive,elliptic differential operator that is self-adjoint with respect to some C^(∞)density dx on a compact connected manifold M.We proved that if 00.

关键词： Schrodinger propagator almost everywhere convergence compact manifolds

Sharp L^2 Boundedness of the Oscillatory Hyper-Hilbert Transform along Curves

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Acta Mathematica Sinica,English Series 2010年第4期26卷 653-658页

作者： jie cheng chen Da Shah FAN Xiang Rong ZHU Department of Mathematics Zhejiang University Hangzhou 310058 P. R. China Department of Mathematics University of Wisconsin-Milwaukee Milwaukee WI 53201 USA ICTP Mathematics Section Strada Costiera 11 I-34151 Trieste Italy

Consider the oscillatory hyper-Hilbert transform Hn,α,βf（x）=∫0^1 f（x-Г（t））e^it-βt^-1-α dt along the curve P（t） = （tp1, tP2,..., tpn）, where β 〉 α ≥ 0 and 0 〈 p1 〈 p2 〈 ... 〈 Pn. We prove that ... 详细信息

关键词： oscillatory hyper-Hilbert transform

A robust genomic-based prognostic model for the assessment ofcancer stemness and survival for patients with hepatocellularcarcinoma

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Hepatobiliary & Pancreatic Diseases International 2024年第1期23卷 97-102页

作者： cheng-Li Du Shen-Yu Wei Yun-Hao chen Kang-jie chen Division of Thoracic Surgery First Affiliated HospitalZhejiang University School of MedicineHangzhou 310003China Zhejiang University School of Medicine Hangzhou 310003China Division of Hepatobiliary Pancreatic Surgery First Affiliated HospitalZhejiang University School of MedicineHangzhou 310003China

To the Editor:Hepatocellular carcinoma(HCC)is an aggressive malignancy with poor long-term prognosis[1].Liver cancer stem cell(CSC)can drive the metastasis,drug resistance,and recurrence of HCC[2].The regulatory mechanisms about liver cancer stemness have been investigated,which encouraged the identification and characterization of novel prognostic and therapeutic strategies for HCC[3].

关键词： cancer prognosis Liver

Calcitonin gene-related peptide inhibits neuronal apoptosis in heatstroke rats via PKA/p-CREB pathway

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Chinese Journal of Traumatology 2024年第1期27卷 18-26页

作者： jie Zhu Ya-Hong chen Jing-Jing Ji cheng-Xiang Lu Zhi-Feng Liu Department of Pediatric General Hospital of Southern Theater Command of PLAGuangzhou510010China Department of Medical Intensive Care Unit General Hospital of Southern Theater Command of PLAGuangzhou510010China Department of Intensive Care Unit Zhongshan Hospital Xiamen UniversityXiamenFujian province361004China

Purpose:The incidence of heatstroke(HS)is not particularly high;however,once it occurs,the consequences are serious.It is reported that calcitonin gene-related peptide(CGRP)is protective against brain injury in HS rats,but detailed molecular mechanisms need to be further investigated.In this study,we further explored whether CGRP inhibited neuronal apoptosis in HS rats via protein kinase A(PKA)/p-cAMP response element-binding protein(p-CREB)pathway.Methods:We established a HS rat model in a pre-warmed artificial climate chamber with a temperature of(35.5±0.5)℃and a relative humidity of 60%±5%.Heatstress was stopped once core body temperature reaches above 41℃.A total of 25 rats were randomly divided into 5 groups with 5 animals each:control group,HS group,HS+CGRP group,HS+CGRP antagonist(CGRP8-37)group,and HS+CGRP+PKA/p-CREB pathway blocker(H89)group.A bolus injection of CGRP was administered to each rat in HS+CGRP group,CGRP8-37(antagonist of CGRP)in HS+CGRP8-37 group,and CGRP with H89 in HS+CGRP+H89 group.Electroencephalograms were recorded and the serum concentration of S100B,neuron-specific enolase(NSE),neuron apoptosis,activated caspase-3 and CGRP expression,as well as pathological morphology of brain tissue were detected at 2 h,6 h,and 24 h after HSin vivo.The expression of PKA,p-CREB,and Bcl-2 in rat neurons were also detected at 2 h after HSin vitro.Exogenous CGRP,CGRP8-37,or H89 were used to determine whether CGRP plays a protective role in brain injury via PKA/p-CREB pathway.The unpairedt-test was used between the 2 samples,and the mean±SD was used for multiple samples.Double-tailedp<0.05 was considered statistically significant.Results:Electroencephalogram showed significant alteration ofθ(54.50±11.51vs.31.30±8.71,F=6.790,p=0.005)andαwave(16.60±3.21vs.35.40±11.28,F=4.549,p=0.020)in HS group compared to the control group 2 h after HS.The results of triphosphate gap terminal labeling(TUNEL)showed that the neuronal apoptosis of HS rats was increased in the cortex(9.67±3.16vs.1.80±1.10,F=11.002,p=0.001)and

关键词： Heatstroke Calcitonin gene-related peptide Brain injury Apoptosis