数学学报杂志 北大期刊 CSCD期刊 统计源期刊

Local Nonautonomous Schrodinger Flows on Kahler Manifolds

作者：Zong; Lin; JIA; You; De; WANG 刊期：2019年第08期

In this paper, we prove that the nonautonomous Schrodinger flow from a compact Riemannian manifold into a Kahler manifold admits a local solution. Under some certain conditions, the solution is unique and has higher regularity.

Boundedness and Spec trum of Multiplicative Convolution Operators Induced by Arithmetic Functions

作者：Kibrom; G.EBREMESKEL; Lin; Zhe; HUANG 刊期：2019年第08期

Fusion Systems over Mp(1,1,1)× A-groups

作者：Jun; LIAO; He; Guo; LIU; Ji; Ping; ZHANG 刊期：2019年第08期

In this paper we study the saturated fusion systems over a direct product of the extraspecial group of order p^3 of exponent p and a finite abelian p-group. The result provides some new exotic fusion systems, whose unique components are isomorphic to the exotic fusion systems over 7+^1+2 found by Ruiz and Viruel.

Complete Moment Convergence for the Dependent Linear Processes with Random Coefficients

作者：Seyed; Moham; mad; HOSSEINI; Ahmad; NEZAKATI 刊期：2019年第08期

In this paper, we investigate the complete moment convergence for dependent linear processes with random coefficients to form Xt =∑j^∞=∞ Aj∈t-j,where {∈n, n ∈ Z} is a sequence of END stochastically dominated random variables and {An,n ∈ Z} is a sequence of random varibles. As applications, the convergence rate...

Half Exact Functors Associated with Cotorsion Pairs on Exact Categories

作者：Yu; LIU 刊期：2019年第08期

In the previous article "Hearts of twin cotorsion pairs on exact categories. J. Algebra, 394,245–284(2013)", we introduced the notion of the heart for any cotorsion pair on an exact category with enough projectives and injectives, and showed that it is an abelian category. In this paper, we construct a half exact fu...

Lagrangian Bonnet Problems in Complex Space Forms

作者：Hui; Xia; HE; Hui; MA; Er; Xiao; WANG 刊期：2019年第08期

In this note we consider Lagrangian Bonnet problem for Lagrangian surfaces in complex space forms. We first give a Bonnet type theorem for conformal Lagrangian surfaces in complex space forms, then we show that any compact Lagrangian surface in the complex space form admits at most one other global isometric Lagrangi...

On Weyl's Theorem for Functions of Operators

作者：Jiong; DONG; Xiao; Hong; CAO; Lei; DAI 刊期：2019年第08期

Let H be a complex separable infinite dimensional Hilbert space. In this paper, a variant of the Weyl spectrum is discussed. Using the new spectrum, we characterize the necessary and sufficient conditions for both T and f(T) satisfying Weyl’s theorem, where f ∈ Hol(σ(T)) and Hol(σ(T)) is defined by the set of all f...

Regularity for 3D Navier-Stokes Equations Based on Energy Distribution at Wavenumber Bands

作者：Myong-Hwan; RI 刊期：2019年第08期

We present some regularity criteria for the Leray–Hopf weak solutions to the Cauchy problem for 3D Navier–Stokes equations based on energy distribution at wavenumber bands. We show sufficient conditions for regularity based on the ratios of energy dissipation rates at sufficiently high wavenumber bands and neighbor...

Automorphisms on the Poset of Products of Two Projections

作者：Xin; Hui; WANG; Guo; Xing; JI 刊期：2019年第08期

Let H be a complex Hilbert space with dim H ≥ 3 and B(H) the algebra of all bounded linear opera tors on H. Let ≤° be the diamond order on B(H), that is, for A, B ∈B(H), we say that A ≤° B if R(A)■ R(B), R(A^*)■ R(B^*) and AA^*A= AB^*A. Put Λ={PQ : P、Q ∈B(H) are projections}. In this paper, the relationship b...

Local Well-posedness for Linearized Degenerate MHD Boundary Layer Equations in Analytic Setting

作者：Ya; Jun; LI; Wen; Dong; WANG 刊期：2019年第08期

In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We prove these degenerate boundary layers are stable around a steady solu...

Instructions for Authors

刊期：2019年第08期

Submission Authors must use LaTeX for typewriting, and visit our website www.actamath.com to submit your paper. Our address is Editorial Office of Acta Mathematica Sinica, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, R R. China.