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 Select 1. DECAY ESTIMATE AND GLOBAL EXISTENCE OF SEMILINEAR THERMOELASTIC TIMOSHENKO SYSTEM WITH TWO DAMPING EFFECTS 王维克, 薛锐 数学物理学报(英文版)    2019, 39 (6): 1461-1486.   DOI: 10.1007/s10473-019-0601-z 摘要 （125）      PDF       收藏 In this paper, we study a semilinear Timoshenko system with heat conduction having two damping effects. The observation that two damping effects might lead to smaller decay rates for solutions in comparison to one damping effect is rigorously proved here in providing optimality results. Moreover, the global well-posedness for small data is presented.
 Select 2. HILBERT PROBLEM 15 AND NONSTANDARD ANALYSIS (I) 李邦河 数学物理学报(英文版)    2020, 40 (1): 1-15.   DOI: 10.1007/s10473-020-0101-4 摘要 （71）      PDF       收藏 In this article, we consider the following coupled fractional nonlinear Schr?dinger system in $\mathbb{R}^{N}$ $\left\{ \begin{array}{l} {\left( { - \Delta } \right)^s}u + P\left( x \right)u = {\mu _1}{\left| u \right|^{2p - 2}}u + \beta {\left| u \right|^p}{\left| u \right|^{p - 2}}u,\;\;\;x \in {{\mathbb{R}}^N},\\{\left( { - \Delta } \right)^s}v + Q\left( x \right)v = {\mu _2}{\left| v \right|^{2p - 2}}v + \beta {\left| v \right|^p}{\left| v \right|^{p - 2}}v,\;\;\;\;\;x \in {{\mathbb{R}}^N},\\u,\;\;v \in {H^s}\left( {{{\mathbb{R}}^N}} \right),\end{array} \right.$ where $N≥2, 0 < s < 1, 1 < p < \frac{N}{N-2s},\mu_1>0, \mu_2>0$ and $\beta \in \mathbb{R}$ is a coupling constant. We prove that it has infinitely many non-radial positive solutions under some additional conditions on $P(x), Q(x), p$ and $\beta$. More precisely, we will show that for the attractive case, it has infinitely many non-radial positive synchronized vector solutions, and for the repulsive case, infinitely many non-radial positive segregated vector solutions can be found, where we assume that $P(x)$ and $Q(x)$ satisfy some algebraic decay at infinity.
 Select 3. SYMMETRY OF POSITIVE SOLUTIONS FOR THE FRACTIONAL HARTREE EQUATION 刘祥清 数学物理学报(英文版)    2019, 39 (6): 1508-1516.   DOI: 10.1007/s10473-019-0603-x 摘要 （60）      PDF       收藏 In this paper, by using the method of moving planes, we are concerned with the symmetry and monotonicity of positive solutions for the fractional Hartree equation.
 Select 4. THE SCHWARZ LEMMA AT THE BOUNDARY OF THE NON-CONVEX COMPLEX ELLIPSOIDS 何乐, 涂振汉 数学物理学报(英文版)    2019, 39 (4): 915-926.   DOI: 10.1007/s10473-019-0401-5 摘要 （58）      PDF       收藏 Let B2,p:={z∈C2:|z1|2+|z2|p<1} (0 < p < 1). Then, B2,p (0 < p < 1) is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈ ∂B2,p for holomorphic self-mappings of the non-convex complex ellipsoid B2,p, where z0 is any smooth boundary point of B2,p.
 Select 5. SHUBIN REGULARITY FOR THE RADIALLY SYMMETRIC SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION WITH DEBYE-YUKAWA POTENTIAL Léo GLANGETAS, 李浩光 数学物理学报(英文版)    2019, 39 (6): 1487-1507.   DOI: 10.1007/s10473-019-0602-y 摘要 （51）      PDF       收藏 In this work, we study the Cauchy problem for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential. We prove that this Cauchy problem enjoys the same smoothing effect as the Cauchy problem defined by the evolution equation associated to a fractional logarithmic harmonic oscillator. To be specific, we can prove the solution of the Cauchy problem belongs to Shubin spaces.
 Select 6. GLOBAL L∞ SOLUTIONS TO SYSTEM OF ISENTROPIC GAS DYNAMICS IN A DIVERGENT NOZZLE WITH FRICTION 孙庆有, 陆云光, Christian KLINGENBERG 数学物理学报(英文版)    2019, 39 (5): 1213-1218.   DOI: 10.1007/s10473-019-0501-2 摘要 （46）      PDF       收藏 In this article, we study the global L∞ entropy solutions for the Cauchy problem of system of isentropic gas dynamics in a divergent nozzle with a friction. Especially when the adiabatic exponent γ=3, we apply for the maximum principle to obtain the L∞ estimates w(ρδ,ε, uδ,ε) ≤ B(t) and z(ρδ,ε, uδ,ε) ≤ B(t) for the viscosity solutions (ρδ,ε, uδ,ε), where B(t) is a nonnegative bounded function for any finite time t. This work, in the special case γ ≥ 3, extends the previous works, which provided the global entropy solutions for the same Cauchy problem with the restriction w(ρδ,ε, uδ,ε) ≤ 0 or z(ρδ,ε, uδ,ε) ≤ 0.
 Select 7. INFINITE SERIES FORMULAE RELATED TO GAUSS AND BAILEY $_2F_1(\tfrac12)$-SUMS 初文昌 数学物理学报(英文版)    2020, 40 (2): 293-315.   DOI: 10.1007/s10473-020-0201-y 摘要 （42）      PDF       收藏 The unified Ω-series of the Gauss and Bailey $_2F_1(\tfrac12)$-sums will be investigated by utilizing asymptotic methods and the modified Abel lemma on summation by parts. Several remarkable transformation theorems for the Ω-series will be proved whose particular cases turn out to be strange evaluations of nonterminating hypergeometric series and infinite series identities of Ramanujan-type, including a couple of beautiful expressions for π and the Catalan constant discovered by Guillera (2008).
 Select 8. INFINITELY MANY SOLITARY WAVES DUE TO THE SECOND-HARMONIC GENERATION IN QUADRATIC MEDIA 王春花, 周静 数学物理学报(英文版)    2020, 40 (1): 16-34.   DOI: 10.1007/s10473-020-0102-3 摘要 （40）      PDF       收藏 In this paper, we consider the following coupled Schr?dinger system with χ(2) nonlinearities which arises from second-harmonic generation in quadratic media. Here V1(x) and V2(x) are radially positive functions, 2 ≤ N < 6, α > 0 and α > β. Assume that the potential functions V1(x) and V2(x) satisfy some algebraic decay at infinity. Applying the finite dimensional reduction method, we construct an unbounded sequence of non-radial vector solutions of synchronized type.
 Select 9. COMPLEX SYMMETRIC TOEPLITZ OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL 蒋操, 董兴堂, 周泽华 数学物理学报(英文版)    2020, 40 (1): 35-44.   DOI: 10.1007/s10473-020-103-2 摘要 （36）      PDF       收藏 In this article, we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables. Surprisingly, the necessary and sufficient conditions for Toeplitz operators to be complex symmetric on these two spaces with certain conjugations are just the same. Also, some interesting symmetry properties of complex symmetric Toeplitz operators are obtained.
 Select 10. MULTI-BUMP SOLUTIONS FOR NONLINEAR CHOQUARD EQUATION WITH POTENTIAL WELLS AND A GENERAL NONLINEARITY 郭伦, 胡亭曦 数学物理学报(英文版)    2020, 40 (2): 316-340.   DOI: 10.1007/s10473-020-0202-x 摘要 （36）      PDF       收藏 In this article, we study the existence and asymptotic behavior of multi-bump solutions for nonlinear Choquard equation with a general nonlinearity \begin{equation*} -\Delta u+(\lambda a(x)+1)u=\Big(\frac{1}{|x|^{\alpha}}\ast F(u)\Big)f(u) \ \ \text{in}\ \ \mathbb{R}^{N}, \end{equation*} where $N\geq 3$, $0<\alpha< \min\{N,4\}$, $\lambda$ is a positive parameter and the nonnegative potential function $a(x)$ is continuous. Using variational methods, we prove that if the potential well int$(a^{-1}(0))$ consists of $k$ disjoint components, then there exist at least $2^k-1$ multi-bump solutions. The asymptotic behavior of these solutions is also analyzed as $\lambda\to +\infty$.
 Select 11. GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED SYSTEMS VIA A LYAPUNOV FUNCTIONAL Lamia DJEBARA, Salem ABDELMALEK, Samir BENDOUKHA 数学物理学报(英文版)    2019, 39 (6): 1538-1550.   DOI: 10.1007/s10473-019-0606-7 摘要 （35）      PDF       收藏 The purpose of this work is to study the global existence and asymptotic behavior of solutions to a coupled reaction-diffusion system describing epidemiological or chemical situations. Our analytical proofs are based on the Lyapunov functional methods.
 Select 12. A STUDY OF A FULLY COUPLED TWO-PARAMETER SYSTEM OF SEQUENTIAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS Ahmed ALSAEDI, Bashir AHMAD, Shorog ALJOUDI, Sotiris K. NTOUYAS 数学物理学报(英文版)    2019, 39 (4): 927-944.   DOI: 10.1007/s10473-019-0402-4 摘要 （32）      PDF       收藏 In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary conditions. The standard tools of the fixed-point theory are employed to obtain the main results. We emphasize that our results are not only new in the given configuration, but also correspond to several new special cases for specific values of the parameters involved in the problem at hand.
 Select 13. STABILITY OF ε-ISOMETRIES ON L∞-SPACES 戴端旭 数学物理学报(英文版)    2019, 39 (6): 1733-1742.   DOI: 10.1007/s10473-019-0619-2 摘要 （31）      PDF       收藏 In this article, we discuss the stability of ε-isometries for L∞,λ-spaces. Indeed, we first study the relationship among separably injectivity, injectivity, cardinality injectivity and universally left stability of L∞,λ-spaces as well as we show that the second duals of universally left-stable spaces are injective, which gives a partial answer to a question of Bao-Cheng-Cheng-Dai, and then we prove a sharpen quantitative and generalized Sobczyk theorem which gives examples of nonseparable L∞-spaces X (but not injective) such that the couple (X, Y) is stable for every separable space Y. This gives a new positive answer to Qian's problem.
 Select 14. THE BOUNDEDNESS FOR COMMUTATORS OF ANISOTROPIC CALDERÓN-ZYGMUND OPERATORS 李金霞, 李宝德, 何建勋 数学物理学报(英文版)    2020, 40 (1): 45-58.   DOI: 10.1007/s10473-020-104-1 摘要 （30）      PDF       收藏 Let T be an anisotropic Calderón-Zygmund operator and φ : Rn×[0, ∞) → [0, ∞) be an anisotropic Musielak-Orlicz function with φ(x, ·) being an Orlicz function and φ(·, t) being a Muckenhoupt A∞(A) weight. In this paper, our goal is to study two boundedness theorems for commutators of anisotropic Calderón-Zygmund operators. Precisely, when b ∈ BMOw(Rn, A) (a proper subspace of anisotropic bounded mean oscillation space BMO(Rn, A)), the commutator [b, T] is bounded from anisotropic weighted Hardy space Hw1(Rn, A) to weighted Lebesgue space Lw1(Rn) and when b ∈ BMO(Rn) (bounded mean oscillation space), the commutator [b, T] is bounded on Musielak-Orlicz space Lφ(Rn), which are extensions of the isotropic setting.
 Select 15. EPIDEMIC SPREAD ON ONE-WAY CIRCULAR-COUPLED NETWORKS 徐忠朴, 傅新楚 数学物理学报(英文版)    2019, 39 (6): 1713-1732.   DOI: 10.1007/s10473-019-0618-3 摘要 （29）      PDF       收藏 Real epidemic spreading networks are often composed of several kinds of complex networks interconnected with each other, such as Lyme disease, and the interrelated networks may have different topologies and epidemic dynamics. Moreover, most human infectious diseases are derived from animals, and zoonotic infections always spread on directed interconnected networks. So, in this article, we consider the epidemic dynamics of zoonotic infections on a unidirectional circular-coupled network. Here, we construct two unidirectional three-layer circular interactive networks, one model has direct contact between interactive networks, the other model describes diseases transmitted through vectors between interactive networks, which are established by introducing the heterogeneous mean-field approach method. Then we obtain the basic reproduction numbers and stability of equilibria of the two models. Through mathematical analysis and numerical simulations, it is found that basic reproduction numbers of the models depend on the infection rates, infection periods, average degrees, and degree ratios. Numerical simulations illustrate and expand these theoretical results very well.
 Select 16. GLOBAL EXISTENCE AND DECAY ESTIMATES FOR THE CLASSICAL SOLUTIONS TO A COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL 丁时进, 黄丙远, 黎泉荣 数学物理学报(英文版)    2019, 39 (6): 1525-1537.   DOI: 10.1007/s10473-019-0605-8 摘要 （25）      PDF       收藏 We prove the global existence of classical solutions to a fluid-particle interaction model in R3, namely, compressible Navier-Stokes-Smoluchowski equations, when the initial data are close to the stationary state (ρ⋆, 0, η⋆) and the external potential satisfies the smallness assumption. Furthermore, optimal decay rates of classical solutions in H3-framework are obtained.
 Select 17. NEW RESULTS FOR A CLASS OF UNIVALENT FUNCTIONS 彭志刚, Milutin OBRADOVI? 数学物理学报(英文版)    2019, 39 (6): 1579-1588.   DOI: 10.1007/s10473-019-0609-4 摘要 （25）      PDF       收藏 Let A denote the family of all analytic functions f(z) in the unit disk D={z ∈ C:|z|<1}, normalized by the conditions f(0)=0 and f'(0)=1. Let U denote the set of all functions f ∈ A satisfying the condition|(z/f(z))2 f'(z) -1|<1 for z ∈ D. Let Ω be the class of all f ∈ A for which|zf'(z) -f(z)|<1/2, z ∈ D. In this paper, the relations between the two classes are discussed. Furthermore, some new results on the class Ω are obtained.
 Select 18. STABILITY OF MONOSTABLE WAVES FOR A NONLOCAL EQUATION WITH DELAY AND WITHOUT QUASI-MONOTONICITY 刘克盼, 杨赟瑞, 杨扬 数学物理学报(英文版)    2019, 39 (6): 1589-1604.   DOI: 10.1007/s10473-019-0610-y 摘要 （24）      PDF       收藏 By using the weighted-energy method combining continuation method, the exponential stability of monostable traveling waves for a delayed equation without quasi-monotonicity is established, including even the slower waves whose speed are close to the critical speed. Particularly, the nonlinearity is nonlocal in the equation and the initial perturbation is uniformly bounded only at x=+∞ but may not be vanishing.
 Select 19. ON THE DIMENSIONS OF SPACES OF HARMONIC FUNCTIONS WITH POLYNOMIAL GROWTH 黄显涛 数学物理学报(英文版)    2019, 39 (5): 1219-1234.   DOI: 10.1007/s10473-019-0502-1 摘要 （24）      PDF       收藏 In this paper, we obtain an estimate for the lower bound for the dimensions of harmonic functions with polynomial growth and a Liouville type theorem on manifolds with nonnegative Ricci curvature whose tangent cone at infinity is a unique metric cone with a conic measure.
 Select 20. THE ORLICZ BRUNN-MINKOWSKI INEQUALITY FOR DUAL HARMONIC QUERMASSINTEGRALS 吴翔, 李寿贵 数学物理学报(英文版)    2019, 39 (4): 945-954.   DOI: 10.1007/s10473-019-0403-3 摘要 （24）      PDF       收藏 Within the framework of Orlicz Brunn-Minkowski theory recently introduced by Lutwak, Yang, and Zhang[20, 21], Gardner, Hug, and Weil[5, 6] et al, the dual harmonic quermassintegrals of star bodies are studied, and a new Orlicz Brunn-Minkowski type inequality is proved for these geometric quantities.