《Analysis in Theory and Applications》

作品数:1113被引量:678H指数:10
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《Analysis in Theory and Applications》
主办单位:南京大学
最新期次:2024年1期更多>>
发文主题:OPERATORSAPPROXIMATIONTYPEWEIGHTEDOSCILLATORY更多>>
发文领域:理学自动化与计算机技术文化科学电子电信更多>>
发文基金:国家自然科学基金北京市自然科学基金国家重点基础研究发展计划河北省自然科学基金更多>>
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The Mean Time to Absorption on Horizontal Partitioned Sierpinski Gasket Networks
《Analysis in Theory and Applications》2024年第1期1-21,共21页Zhizhuo Zhang Bo Wu Zuguo Yu 
supported by National Natural Science Foundations of China Grant(Nos.12026214,11871061 and 12026213);Natural Science Research Major Project of Higher Education in Jiangsu Province(No.17KJA120002);the 333 Project of Jiangsu Province.
The random walk is one of the most basic dynamic properties of complex networks,which has gradually become a research hotspot in recent years due to its many applications in actual networks.An important characteristic...
关键词:Mean time to absorption self-similar network Sierpinski Gasket 
A Remark about Time-Analyticity of the Linear Landau Equation with Soft Potential
《Analysis in Theory and Applications》2024年第1期22-37,共16页Chaojiang Xu Yan Xu 
supported by the NSFC(No.12031006);the Fundamental Research Funds for the Central Universities of China.
In this note,we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time va...
关键词:Spatially homogeneous Landau equation analytic smoothing effect soft potentials 
Dynamics Analysis for a Hierarchical System with Nonlinear Cut-Off Interaction and FreeWill
《Analysis in Theory and Applications》2024年第1期38-56,共19页Ziyu Zhao Yicheng Liu Xiao Wang 
supported by the National Natural Science Foundation of China(No.11671011);Hunan Provincial Innovation Foundation for Postgraduate(CN)(No.CX20200011).
Noting that the particles communicate with each other within afinite dis-tance,in the paper,we investigate the hierarchical model with free will and cut-off function(linear or nonlinear).As our observation,the cut-off ...
关键词:Motsch-Tadmor model hierarchical structure free will flocking behavior 
Existence and Uniqueness for the Non-Compact Yamabe Problem of Negative Curvature Type
《Analysis in Theory and Applications》2024年第1期57-91,共35页Joseph Hogg Luc Nguyen 
supported by the EPSRC Centre for Doctoral Training in Partial Differential Equations(grant number EP/L015811/1).
We study existence and uniqueness results for the Yamabe problem on non-compact manifolds of negative curvature type.Ourfirst existence and uniqueness result concerns those such manifolds which are asymptotically local...
关键词:Yamabe problem non-compact manifolds negative curvature asymptotically locally hyperbolic asymptotically warped product relative volume comparison non-smooth conformal compactification 
Bilinear Pseudo-Differential Operator and Its Commutator on Generalized Fractional Weighted Morrey Spaces
《Analysis in Theory and Applications》2024年第1期92-110,共19页Guanghui Lu Shuangping Tao 
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 aim of this paper is to establish the boundedness of bilinear pseudodifferential operator T_(σ) and its commutator[b_(1),b_(2),T_(σ)]generated by T_(σ) and b_(1),b_(2) BMO(R^(n))on generalized fractional weight...
关键词:Generalized fractional weighted Morrey space bilinear pseudo-differential operator COMMUTATOR space BMO(R^(n)) 
Variable Exponent Herz-Morrey-Hardy Spaces Characterized byWavelets and Its Application
《Analysis in Theory and Applications》2023年第4期385-406,共22页Demin Yao Kai Zhao 
supported by NNSF-China Grant(No.11471176);NSF of Shandong Province China(No.ZR2020MA004).
In this paper,using the atomic decomposition of the Herz-Morrey-Hardy spaces with variable exponent,the wavelet characterization by means of a local version of the discrete tent spaces with variable exponent is establ...
关键词:WAVELET variable exponent CHARACTERIZATION Herz-Morrey-Hardy space 
Author Index to Volume 39
《Analysis in Theory and Applications》2023年第4期407-407,共1页
General Optimal Polynomial Approximants,Stabilization,and Projections of Unity
《Analysis in Theory and Applications》2023年第4期309-329,共21页Christopher Felder 
In various Hilbert spaces of analytic functions on the unit disk,we charac-terize when a function has optimal polynomial approximants given by truncations of a single power series or,equivalently,when the approximants...
关键词:Optimal polynomial approximants inner functions 
The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations
《Analysis in Theory and Applications》2023年第4期330-356,共27页Bin Deng 
supported by NSFC Grant Nos.11721101 and 11871255.
In this paper,we establish global C2 estimates to the Neumann problem for a class of fully nonlinear elliptic equations.As an application,we prove the existence and uniqueness of k-admissible solutions to the Neumann ...
关键词:Neumann problem fully nonlinear elliptic equation 
Standing Waves of Fractional Schrödinger Equations with Potentials and General Nonlinearities
《Analysis in Theory and Applications》2023年第4期357-377,共21页Zaizheng Li Qidi Zhang Zhitao Zhang 
funded by Natural Science Foundation of Hebei Province(No.A2022205007);Science and Technology Project of Hebei Education Department(No.QN2022047);Science Foundation of Hebei Normal University(No.L2021B05);supported by National Natural Science Foundation of China(Nos.11771428,12031015 and 12026217).
We study the existence of standing waves of fractional Schrodinger equations with a potential term and a general nonlinear term:iut-(-Δ)^(s)u-V(x)u+f(u)=0,(t,x)∈R_(+)×R^(N),where s∈(0,1),N>2s is an integer and V(x...
关键词:Fractional Schrodinger equation standing wave normalized solution 
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