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Boundary blow-up analysis for approximate Dirac-harmonic maps into stationary Lorentzian manifolds
《Science China Mathematics》2025年第3期649-676,共28页Wanjun Ai Lei Liu Miaomiao Zhu 
supported by National Natural Science Foundation of China (Grant No. 12201515);the Natural Science Foundation of Chongqing, China (Grant No. cstc2021jcyj-msxmX1058);the China Scholarship Council (Grant No. 202206995009);supported by National Natural Science Foundation of China (Grant No. 12101255).;supported by Innovation Program of Shanghai Municipal Education Commission (Grant No. 2021-01-07-00-02-E00087);National Natural Science Foundation of China (Grant No. 12171314);Shanghai Frontier Science Center of Modern Analysis。
For a sequence of approximate Dirac-harmonic maps from a Riemannian surface with a smooth boundary into a stationary Lorentzian manifold, we study the boundary blow-up analysis and prove the positive energy identity f...
关键词：Dirac-harmonic maps boundary regularity BLOW-UP Lorentzian manifolds 
Mean field game of optimal relative investment with jump risk
《Science China Mathematics》2024年第5期1159-1188,共30页Lijun Bo Shihua Wang Xiang Yu 
supported by Natural Science Basic Research Program of Shaanxi(Grant No.2023-JC-JQ-05);National Natural Science Foundation of China(Grant No.11971368);supported by the Fundamental Research Funds for the Central Universities(Grant No.WK3470000024);supported by The Hong Kong Polytechnic University(Grant Nos.P0031417 and P0039251)。
In this paper,we study the n-player game and the mean field game under the constant relative risk aversion relative performance on terminal wealth,in which the interaction occurs by peer competition.In the model with ...
关键词：relative performance contagious jump risk mean field game with jumps mean field equilibrium approximate Nash equilibrium 
The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds
《Science China Mathematics》2022年第8期1679-1706,共28页Wanjun Ai Miaomiao Zhu 
supported by the Fundamental Research Funds for the Central Universities(Grant No.SWU119064);supported by Shanghai Frontier Research Institute for Modern Analysis(IMA-Shanghai)and Innovation Program of Shanghai Municipal Education Commission(Grant No.2021-01-07-00-02-E00087)。
For a sequence of approximate Dirac-harmonic maps from a closed spin Riemann surface into a stationary Lorentzian manifold with uniformly bounded energy,we study the blow-up analysis and show that the Lorentzian energ...
关键词：approximate Dirac-harmonic maps blow-up analysis no neck Lorentzian manifolds 
From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems被引量：3
《Science China Mathematics》2016年第1期1-18,共18页LI TaTsien 
supported by National Basic Research Program of China(Grant No.2013CB834100);National Natural Science Foundation of China(Grant No.111211101)
In this survey paper, the synchronization will be initially studied for infinite dimensional dynamical systems of partial differential equations instead of finite dimensional systems of ordinary differential equations...
关键词：SYNCHRONIZATION exact boundary synchronization approximate boundary synchronization cou- pled system of wave equations Dirichlet boundary controls 
Strong stability of Nash equilibria in load balancing games被引量：1
《Science China Mathematics》2014年第7期1361-1374,共14页CHEN Bo LI SongSong ZHANG YuZhong 
supported by the Taishan Scholarship of the Government of Shandong Province of China;National Natural Science Foundation of China (Grant No.11071142);Natural Science Foundation of Shandong Province of China (Grant No.ZR2010AM034)
We study strong stability of Nash equilibria in load balancing games of m(m 2)identical servers,in which every job chooses one of the m servers and each job wishes to minimize its cost,given by the workload of the ser...
关键词：load balancing game Nash equilibrium strong Nash equilibrium approximate strong Nash equilibrium 
Approximate acoustic cloaking in inhomogeneous isotropic space
《Science China Mathematics》2013年第12期2631-2644,共14页LI JingZhi LIU HongYu MAO ShiPeng 
supported by National Natural Science Foundation of China(Grant Nos.11101414;11201453;91130022 and 91130026);National Science Foundation of USA(Grant No.DMS 1207784)
We consider the approximate acoustic cloaking in an inhomogeneous isotropic background space.By employing transformation media,together with the use of a sound-soft layer lining right outside the cloaked region,we sho...
关键词：transformation optics approximate invisibility cloaking scattering estimates integral operatorequations 
The approximate Jordan forms of operators on Σ_e^1 type Banach spaces被引量：3
《Science China Mathematics》2011年第4期723-740,共18页ZHANG YunNan LIN LiQiong ZHONG HuaiJie 
supported by National Natural Science Foundation of China (Grant No.10771034);Tian Yuan Foundation of China (Grant No.10926173);Fujian Natural Science Foundation (GrantNo.2009J05002)
This paper studies the structure of operators on Σ1e type Banach spaces.It solves the problem of the small compact perturbations of operators with connected spectra.Namely,it shows that every operator with a connecte...
关键词：Σ1e type Banach spaces strongly irreducible operators operators with connected spectra approximate Jordan forms 
Stability of multiquadric quasi-interpolation to approximate high order derivatives被引量：5
《Science China Mathematics》2010年第4期985-992,共8页MA LiMin 1,2 & WU ZongMin 1,1 Shanghai Key Laboratory for Contemporary Applied Mathematics,School of Mathematical Sciences,Fudan University,Shanghai 200433,China 2 Department of Information and Computer Science,Zhejiang Gongshang University,Hangzhou 310018,China 
supported by the Major State Basic Research Development Program of China (973 Program) (Grant No.2006CB303102);the Science and Technology Commission of Shanghai Municipality (Grant No.09DZ2272900)
Numerical simulation of the high order derivatives based on the sampling data is an important and basic problem in numerical approximation,especially for solving the differential equations numerically.The classical me...
关键词：numerical differential radial basis functions (RBFs) Hardy’s MULTIQUADRIC (MQ) quasiinterpolation divided difference method white noise EXPECTATION variance 
Obtaining exact value by approximate computations被引量：7
《Science China Mathematics》2007年第9期1361-1368,共8页Jing-zhong ZHANG Yong FENG 
This work was partially supported by China 973 Project (Grant No.NKBRPC-2004CB318003);the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No.KJCX2-YW-S02).
Numerical approximate computations can solve large and complex problems fast.They have the advantage of high efficiency.However they only give approximate results,whereas we need exact results in some fields.There is ...
关键词：numerical approximate computation symbolic-numerical computation continued fraction 33F10 
Approximate equivalence in von Neumann algebras
《Science China Mathematics》2005年第2期239-247,共9页DING Huiru Don Hadwin 
One formulation of D. Voiculescu's theorem on approximate unitary equivalence is that two unital representations π and ρ of a separable C*-algebra are approximately unitarily equivalent if and only if rank οπ = ra...
关键词：APPROXIMATE equivalence  R-rank. 
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