中国科学院数学与系统科学研究院期刊网

15 January 2015, Volume 58 Issue 1
    

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  • Trajectory Attractor for a Class of Three-Dimensional Incompressible Non-Newtonian Fluids
    Cai Di ZHAO, He Ling WU, Chu Jin LI
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 1-12. https://doi.org/10.12386/A2015sxxb0001
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    This paper studies the trajectory asymptotic behavior of solutions for equations of a class of three-dimensional autonomous and incompressible non-Newtonian fluids. The authors prove the existence of the trajectory attractor for this class of equations in an appropriate topological space.
  • Stability of Traveling Wave Fronts for Nonlocal Reaction Diffusion Equations with Delay
    Xiao Huan WANG, Guang Ying LV
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 13-28. https://doi.org/10.12386/A2015sxxb0002
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    This paper is concerned with the stability of traveling wave fronts for reaction diffusion equations with nonlocal delay. We prove that, in the appropriate weighted L∞ spaces, the non-critical traveling wave fronts are globally exponentially stable, and the critical traveling wave fronts are globally algebraically stable. Moreover, we obtain the rates of convergence by weighted energy estimates. We apply these results to a host-vector disease model, the generalized Nicholson blowflies equation, and a modified vector disease model.
  • Commutators of Hardy Type Operators on Herz Spaces with Variable Exponents
    Li Sheng SHU, Min WANG, Meng QU
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 29-40. https://doi.org/10.12386/A2015sxxb0003
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    We mainly prove the boundedness of the commutators of Hardy type operators on Herz spaces , where α(·) and p(·) are both variable.
  • Transcendental Solutions of Systems of Complex Differential Equations
    Ling Yun GAO
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 41-48. https://doi.org/10.12386/A2015sxxb0004
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    Using maximum modulus principle, we investigate the problem of the existence of the transcendental meromorphic solutions of system of complex algebraic differential equations, and obtain a result which the system only the algebraic solution under certain conditions. Examples show that our results are sharp.
  • Higher Order Schwarzian Derivatives and Quasisymmetric Homeomorphisms
    Jian Jun JIN
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 49-58. https://doi.org/10.12386/A2015sxxb0005
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    We characterize two subclasses of quasisymmetric homeomorphisms of the unit circle in terms of higher order Schwarzian derivatives, which are the strongly symmetric homeomorphisms and the Weil-Petersson class.
  • Super O-Operators of Pre-Lie Superalgebras and Super S-Equations
    Jun Na NI
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 59-70. https://doi.org/10.12386/A2015sxxb0006
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    Super O-operators on Pre-Lie superalgebras are introduced. The solutions of super S-equation are discussed by super O-operators. Then the notion of L-dendriform superalgebras is introduced as the algebraic structure behind the super O-operators. Moreover, the relation between L-dendriform superalgebras, dendriform superalgebras and Pre-Lie superalgebra is also established.
  • A Characterization of *-Isomorphism on Factor von Neumann Algebras
    Mei Li WANG, Guo Xing JI
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 71-78. https://doi.org/10.12386/A2015sxxb0007
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    Let H and K be complex Hilbert spaces. Let A and B be two factor von Neumann algebras acting on H and K respectively. A characterization of *-isomorphism between A and B is given. Let Φ: A → B be a bijection. If Φ(A*B + B*A) = Φ(A)*Φ(B) + Φ(B)*Φ(A) for all A,B ∈ A, then Φ is a linear or a conjugate linear *-isomorphism.
  • Some Results About the Coming Generation of Subcritical CMJ Processes in Discrete Time
    Hong Song GUO, Mei ZHANG
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 79-90. https://doi.org/10.12386/A2015sxxb0008
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    We consider the count of the coming generation of subcritical CMJ processes in discrete time. With the help of several renewal theorems, we obtain the limit theorems for the conditional processes. Therefore, we show how the coming generation sheds new light on the limit properties of subcritical CMJ processes.
  • The Characterization of Wave Packet Parseval Frames and Its Application
    Guo Chang WU, Huai Xin CAO, Da Yong LU
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 91-102. https://doi.org/10.12386/A2015sxxb0009
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    We provide a characterization of wave packet Parseval frames from their Fourier transforms, which deduces some existing results as e corollaries. Furthermore, some properties and a sufficient condition of wave packet frame multipliers are obtained.
  • A Estimate of the Volume of Mininimal Hypersurface in Mn×Rm
    Shang Ming TAO
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 103-106. https://doi.org/10.12386/A2015sxxb0010
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    It estimates the volume of an area-bounded minimal graph supported on Ω which is called admissible and it has Euclidean growth. This result generalizes the related results of Elbert and Rosenberg in Mn×R for minimal graphs to in Mn×Rm.
  • Estimates of Multilinear Multipliers on Modulation Spaces
    Cong Wei SONG
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 107-114. https://doi.org/10.12386/A2015sxxb0011
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    We show new estimates of multilinear multipliers, improve the known results. We apply the results obtained into the estimates of the nonlinearities of differential equations.
  • Gorenstein-Projective Modules in rep(A3, I, A)
    Xiu Hua LUO, Teng Xia JU, Mei Yun WU
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 115-124. https://doi.org/10.12386/A2015sxxb0012
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    Given a finite-dimensional algebra A over a field k, and a quiver with relations (Q,I), let Λ = A⊕kkQ/I. The category Λ-Mod (Resp. Λ-mod) of (Resp. finitely generated) Λ-modules is equivalent to the category Rep(Q, I,A) (Resp. rep(Q, I,A)) of (Resp. finite-dimensional) representations of (Q, I) over A. The main result of this paper explicitly describes the Gorenstein-projective modules in rep(A3,I,A), where (A3, I) = 3 α 21. with relation I = < βα >. As a corollary, we give a necessary and sufficient condition for A being a self-injective algebra.
  • Multiplication Operator on the Weighted Bergman Space of the Unit Ball
    Kan ZHANG, Xue FENG, Jian Guo DONG, Chi GUAN, Yan YU
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 125-130. https://doi.org/10.12386/A2015sxxb0013
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    Multiplication operator is an important class of operators in function space. We mainly research the properties of the multiplication operator on the weighted Bergman space of the unit ball.
  • On Exponentially Harmonic Maps
    Yuan Jen CHIANG, Heng PAN
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 131-140. https://doi.org/10.12386/A2015sxxb0014
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    We show that both exponential energy and exponentially harmonic map are conformally invariant under a circumstance. We investigate exponentially harmonic Riemannian submersions and exponentially harmonic isometric immersions. We also examine the associated Gauss map of a Riemannian isometric immersion which is exponentially harmonic.
  • Asymptotic Estimates of Unimodular Modifiers on α Modulation Space
    Guo Ping ZHAO, Wei Chao GUO
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 141-152. https://doi.org/10.12386/A2015sxxb0015
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    We study the asymptotic estimates of unimodular multipliers on α modulation spaces. We make a unified study about different types of function spaces, including modulation spaces and Besov spaces. The upper bound estimates of our results generalize many known results of modulation spaces. Moreover, under a partial non-degenerate assumptions on the symbol, we get the sharp asymptotic estimates of the unimodular Fourier multipliers.
  • Sharp Bounds for Multilinear Hausdorff Operators
    Gui Lian GAO, Yun FAN
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 153-160. https://doi.org/10.12386/A2015sxxb0016
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    We give the necessary conditions of boundedness of multilinear Hausdorff operators on Lebesgue spaces and λ-central Morrey spaces, respectively, when the kernel functions are nonnegative. Meanwhile, the corresponding operator norms are worked out.
  • Strongly Damped Wave Equations with Critical Nonlinearities
    Qing Hua ZHANG, Yue Ping ZHU
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 161-168. https://doi.org/10.12386/A2015sxxb0017
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    We study the strongly damped wave equations with critical nonlinearities. By choosing suitable state spaces, we prove sectorial properties of the operator matrix , analysis the criticality of the nonlinearities with critical growth, and investigate the local and global existence of weak solutions together with their higher regularity.
  • Complex Convexity of Musielak-Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
    Li Li CHEN, Yu Nan CUI, Yan Feng ZHAO, Jin Ling NIU
    Acta Mathematica Sinica, Chinese Series. 2015, 58(1): 169-176. https://doi.org/10.12386/A2015sxxb0018
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    We mainly discuss the complex convexity of Musielak-Orlicz sequence spaces equipped with the p-Amemiya norm. It is obtained that for any Musielak- Orlicz sequence space equipped with the p-Amemiya norm when 1 ≤ p < ∞, complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball. Moreover, criteria for them in above spaces are given. Criteria for complex rotundity and complex mid-point locally uniform convexity of above spaces are also deduced.
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