摘要点击排行

    一年内发表的文章 |  两年内 |  三年内 |  全部
    Please wait a minute...
    1. SEQUENCES OF POWERS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    陈泳, Kei Ji IZUCHI, Kou Hei IZUCHI, Young Joo LEE
    数学物理学报(英文版)    2021, 41 (3): 657-669.   DOI: 10.1007/s10473-021-0301-3
    摘要72)      PDF       收藏
    We consider Toeplitz operators $T_u$ with symbol $u$ on the Bergman space of the unit ball, and then study the convergences and summability for the sequences of powers of Toeplitz operators. We first charactreize analytic symbols $\varphi$ for which the sequence $T^{*k}_\varphi f$ or $T^{k}_\varphi f$ converges to 0 or $\infty$ as $k\to\infty$ in norm for every nonzero Bergman function $f$. Also, we characterize analytic symbols $\varphi$ for which the norm of such a sequence is summable or not summable. We also study the corresponding problems on an infinite direct sum of Bergman spaces as a generalization of our result.
    参考文献 | 相关文章 | 多维度评价
    2. CONTINUITY PROPERTIES FOR BORN-JORDAN OPERATORS WITH SYMBOLS IN HÖRMANDER CLASSES AND MODULATION SPACES
    Maurice de GOSSON, Joachim TOFT
    数学物理学报(英文版)    2020, 40 (6): 1603-1626.   DOI: 10.1007/s10473-020-0601-z
    摘要64)      PDF       收藏
    We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when Hörmander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity, nuclearity and Schatten-von Neumann properties to the Born-Jordan calculus.
    参考文献 | 相关文章 | 多维度评价
    3. MARTINGALE INEQUALITIES UNDER G-EXPECTATION AND THEIR APPLICATIONS
    李邯武
    数学物理学报(英文版)    2021, 41 (2): 349-360.   DOI: 10.1007/s10473-021-0201-6
    摘要50)      PDF       收藏
    In this paper, we study the martingale inequalities under $G$-expectation and their applications. To this end, we introduce a new kind of random time, called $G$-stopping time, and then investigate the properties of a $G$-martingale (supermartingale) such as the optional sampling theorem and upcrossing inequalities. With the help of these properties, we can show the martingale convergence property under $G$-expectation.
    参考文献 | 相关文章 | 多维度评价
    4. CONTINUOUS DEPENDENCE ON DATA UNDER THE LIPSCHITZ METRIC FOR THE ROTATION-CAMASSA-HOLM EQUATION
    涂馨予, 穆春来, 邱蜀燕
    数学物理学报(英文版)    2021, 41 (1): 1-18.   DOI: 10.1007/s10473-021-0101-9
    摘要43)      PDF       收藏
    In this article, we consider the Lipschitz metric of conservative weak solutions for the rotation-Camassa-Holm equation. Based on defining a Finsler-type norm on the tangent space for solutions, we first establish the Lipschitz metric for smooth solutions, then by proving the generic regularity result, we extend this metric to general weak solutions.
    参考文献 | 相关文章 | 多维度评价
    5. GLOBAL WEAK SOLUTIONS TO THE α-MODEL REGULARIZATION FOR 3D COMPRESSIBLE EULER-POISSON EQUATIONS
    任亚伯, 郭柏灵, 王术
    数学物理学报(英文版)    2021, 41 (3): 679-702.   DOI: 10.1007/s10473-021-0303-1
    摘要41)      PDF       收藏
    Global in time weak solutions to the $\alpha$-model regularization for the three dimensional Euler-Poisson equations are considered in this paper. We prove the existence of global weak solutions to $\alpha$-model regularization for the three dimension compressible Euler-Poisson equations by using the Fadeo-Galerkin method and the compactness arguments on the condition that the adiabatic constant satisfies $\gamma>\frac{4}{3}$.
    参考文献 | 相关文章 | 多维度评价
    6. ASYMPTOTIC STABILITY OF A BOUNDARY LAYER AND RAREFACTION WAVE FOR THE OUTFLOW PROBLEM OF THE HEAT-CONDUCTIVE IDEAL GAS WITHOUT VISCOSITY
    范丽丽, 侯美晨
    数学物理学报(英文版)    2020, 40 (6): 1627-1652.   DOI: 10.1007/s10473-020-0602-y
    摘要37)      PDF       收藏
    This article is devoted to studying the initial-boundary value problem for an ideal polytropic model of non-viscous and compressible gas. We focus our attention on the outflow problem when the flow velocity on the boundary is negative and give a rigorous proof of the asymptotic stability of both the degenerate boundary layer and its superposition with the 3-rarefaction wave under some smallness conditions. New weighted energy estimates are introduced, and the trace of the density and velocity on the boundary are handled by some subtle analysis. The decay properties of the boundary layer and the smooth rarefaction wave also play an important role.
    参考文献 | 相关文章 | 多维度评价
    7. A REMARK ON GENERAL COMPLEX (α,β) METRICS
    夏红川, 钟春平
    数学物理学报(英文版)    2021, 41 (3): 670-678.   DOI: 10.1007/s10473-021-0302-2
    摘要37)      PDF       收藏
    In this paper, we give a characterization for the general complex (α,β) metrics to be strongly convex. As an application, we show that the well-known complex Randers metrics are strongly convex complex Finsler metrics, whereas the complex Kropina metrics are only strongly pseudoconvex.
    参考文献 | 相关文章 | 多维度评价
    8. ON BOUNDEDNESS PROPERTY OF SINGULAR INTEGRAL OPERATORS ASSOCIATED TO A SCHRÖDINGER OPERATOR IN A GENERALIZED MORREY SPACE AND APPLICATIONS
    Xuan Truong LE, Thanh Nhan NGUYEN, Ngoc Trong NGUYEN
    数学物理学报(英文版)    2020, 40 (5): 1171-1184.   DOI: 10.1007/s10473-020-0501-2
    摘要35)      PDF       收藏
    In this paper, we provide the boundedness property of the Riesz transforms associated to the Schrödinger operator ?=-△+V in a new weighted Morrey space which is the generalized version of many previous Morrey type spaces. The additional potential V considered in this paper is a non-negative function satisfying the suitable reverse Hölder's inequality. Our results are new and general in many cases of problems. As an application of the boundedness property of these singular integral operators, we obtain some regularity results of solutions to Schrödinger equations in the new Morrey space.
    参考文献 | 相关文章 | 多维度评价
    9. ANALYSIS OF THE GENOMIC DISTANCE BETWEEN BAT CORONAVIRUS RATG13 AND SARS-COV-2 REVEALS MULTIPLE ORIGINS OF COVID-19
    裴少君, 丘成栋
    数学物理学报(英文版)    2021, 41 (3): 1017-1022.   DOI: 10.1007/s10473-021-0323-x
    摘要27)      PDF       收藏
    The severe acute respiratory syndrome COVID-19 was discovered on December 31, 2019 in China. Subsequently, many COVID-19 cases were reported in many other countries. However, some positive COVID-19 samples had been reported earlier than those officially accepted by health authorities in other countries, such as France and Italy. Thus, it is of great importance to determine the place where SARS-CoV-2 was first transmitted to human. To this end, we analyze genomes of SARS-CoV-2 using k-mer natural vector method and compare the similarities of global SARS-CoV-2 genomes by a new natural metric. Because it is commonly accepted that SARS-CoV-2 is originated from bat coronavirus RaTG13, we only need to determine which SARS-CoV-2 genome sequence has the closest distance to bat coronavirus RaTG13 under our natural metric. From our analysis, SARS-CoV-2 most likely has already existed in other countries such as France, India, Netherland, England and United States before the outbreak at Wuhan, China.
    参考文献 | 相关文章 | 多维度评价
    10. EXISTENCE OF SOLUTIONS FOR THE FRACTIONAL (p, q)-LAPLACIAN PROBLEMS INVOLVING A CRITICAL SOBOLEV EXPONENT
    陈帆帆, 杨阳
    数学物理学报(英文版)    2020, 40 (6): 1666-1678.   DOI: 10.1007/s10473-020-0604-9
    摘要26)      PDF       收藏
    In this article, we study the following fractional $(p,q)$-Laplacian equations involving the critical Sobolev exponent: \[ (P_{\mu, \lambda}) \begin{cases} (-\Delta)_{p}^{s_{1}}u+(-\Delta)_{q}^{s_{2}}u=\mu |u|^{q-2}u +\lambda|u|^{p-2}u + |u|^{p_{s_{1}}^{*}-2}u, & \text{in $\Omega$,} \\ u=0, & \text{in $\mathbb{R}^{N} \setminus \Omega$}, \end{cases} \] where $\Omega \subset \mathbb{R}^{N}$ is a smooth and bounded domain, $\lambda,\ \mu >0, \ 0 < s_{2} < s_{1} < 1,\ 1 < q < p < \frac{N}{s_{1}} $. We establish the existence of a non-negative nontrivial weak solution to $(P_{\mu, \lambda})$ by using the Mountain Pass Theorem. The lack of compactness associated with problems involving critical Sobolev exponents is overcome by working with certain asymptotic estimates for minimizers.
    参考文献 | 相关文章 | 多维度评价
    11. GLOBAL WEAK SOLUTIONS FOR A NONLINEAR HYPERBOLIC SYSTEM
    孙庆有, 陆云光, Christian KLINGENBERG
    数学物理学报(英文版)    2020, 40 (5): 1185-1194.   DOI: 10.1007/s10473-020-0502-1
    摘要24)      PDF       收藏
    In this paper, we study the global existence of weak solutions for the Cauchy problem of the nonlinear hyperbolic system of three equations (1.1) with bounded initial data (1.2). When we fix the third variable $s$, the system about the variables $\rho$ and $u$ is the classical isentropic gas dynamics in Eulerian coordinates with the pressure function $P( \rho,s)= {\rm e}^{s} {\rm e}^{-\frac{1}{\rho }}$, which, in general, does not form a bounded invariant region. We introduce a variant of the viscosity argument, and construct the approximate solutions of (1.1) and (1.2) by adding the artificial viscosity to the Riemann invariants system (2.1). When the amplitude of the first two Riemann invariants $(w_{1}(x,0),w_{2}(x,0))$ of system (1.1) is small, $(w_{1}(x,0),w_{2}(x,0))$ are nondecreasing and the third Riemann invariant $s(x,0)$ is of the bounded total variation, we obtained the necessary estimates and the pointwise convergence of the viscosity solutions by the compensated compactness theory. This is an extension of the results in [1].
    参考文献 | 相关文章 | 多维度评价
    12. ON REFINEMENT OF THE COEFFICIENT INEQUALITIES FOR A SUBCLASS OF QUASI-CONVEX MAPPINGS IN SEVERAL COMPLEX VARIABLES
    徐庆华, 赖元平
    数学物理学报(英文版)    2020, 40 (6): 1653-1665.   DOI: 10.1007/s10473-020-0603-x
    摘要24)      PDF       收藏
    Let $\mathcal{K}$ be the familiar class of normalized convex functions in the unit disk. In [14], Keogh and Merkes proved that for a function $f(z)=z+\sum\limits_{k=2}^\infty a_kz^k$ in the class $\mathcal{K}$, \begin{align*} |a_3-\lambda a_2^2|\leq \max \left\{\frac{1}{3}, |\lambda-1|\right\},\ \ \lambda \in \mathbb{C}. \end{align*} The above estimate is sharp for each $\lambda$.
    In this article, we establish the corresponding inequality for a normalized convex function $f$ on $\mathbb{U}$ such that $z=0$ is a zero of order $k+1$ of $f(z)-z$, and then we extend this result to higher dimensions. These results generalize some known results.
    参考文献 | 相关文章 | 多维度评价
    13. GENERALIZED ROPER-SUFFRIDGE OPERATOR FOR $\epsilon$ STARLIKE AND BOUNDARY STARLIKE MAPPINGS
    王洁, 王建飞
    数学物理学报(英文版)    2020, 40 (6): 1753-1764.   DOI: 10.1007/s10473-020-0610-y
    摘要21)      PDF       收藏
    This article is devoted to a deep study of the Roper-Suffridge extension operator with special geometric properties. First, we prove that the Roper-Suffridge extension operator preserves $\epsilon$ starlikeness on the open unit ball of a complex Banach space $\mathbb{C}\times X$, where $X$ is a complex Banach space. This result includes many known results. Secondly, by introducing a new class of almost boundary starlike mappings of order $\alpha$ on the unit ball $B^n$ of ${\mathbb{C}}^{n}$, we prove that the Roper-Suffridge extension operator preserves almost boundary starlikeness of order $\alpha$ on $B^n$. Finally, we propose some problems.
    参考文献 | 相关文章 | 多维度评价
    14. RETRACTION NOTE: “MINIMAL PERIOD SYMMETRIC SOLUTIONS FOR SOME HAMILTONIAN SYSTEMS VIA THE NEHARI MANIFOLD METHOD”
    Editorial Office of Acta Mathematica Scientia
    数学物理学报(英文版)    2020, 40 (5): 1602-1602.   DOI: 10.1007/s10473-020-0524-8
    摘要21)      PDF       收藏
    参考文献 | 相关文章 | 多维度评价
    15. WEAK SOLUTION TO THE INCOMPRESSIBLE VISCOUS FLUID AND A THERMOELASTIC PLATE INTERACTION PROBLEM IN 3D
    Srđan TRIFUNOVIĆ, 王亚光
    数学物理学报(英文版)    2021, 41 (1): 19-38.   DOI: 10.1007/s10473-021-0102-8
    摘要21)      PDF       收藏
    In this paper we deal with a nonlinear interaction problem between an incompressible viscous fluid and a nonlinear thermoelastic plate. The nonlinearity in the plate equation corresponds to nonlinear elastic force in various physically relevant semilinear and quasilinear plate models. We prove the existence of a weak solution for this problem by constructing a hybrid approximation scheme that, via operator splitting, decouples the system into two sub-problems, one piece-wise stationary for the fluid and one time-continuous and in a finite basis for the structure. To prove the convergence of the approximate quasilinear elastic force, we develop a compensated compactness method that relies on the maximal monotonicity property of this nonlinear function.
    参考文献 | 相关文章 | 多维度评价
    16. REDUCIBILITY FOR A CLASS OF ANALYTIC MULTIPLIERS ON SOBOLEV DISK ALGEBRA
    陈泳, 刘亚, 秦春桃
    数学物理学报(英文版)    2021, 41 (2): 361-370.   DOI: 10.1007/s10473-021-0202-5
    摘要19)      PDF       收藏
    We prove the reducibility of analytic multipliers $M_\phi$ with a class of finite Blaschke products symbol $\phi$ on the Sobolev disk algebra $R(\mathbb{D})$. We also describe their nontrivial minimal reducing subspaces.
    参考文献 | 相关文章 | 多维度评价
    17. ISOMORPHISMS OF VARIABLE HARDY SPACES ASSOCIATED WITH SCHRÖDINGER OPERATORS
    张俊强, 杨大春
    数学物理学报(英文版)    2021, 41 (1): 39-66.   DOI: 10.1007/s10473-021-0103-7
    摘要19)      PDF       收藏
    Let $L:=-\Delta+V$ be the Schrödinger operator on $\mathbb{R}^n$ with $n\geq3$, where $V$ is a non-negative potential satisfying $\Delta^{-1}(V)\in L^\infty(\mathbb{R}^n)$. Let $w$ be an $L$-harmonic function, determined by $V$, satisfying that there exists a positive constant $\delta$ such that, for any $x\in\mathbb{R}^n$, $0<\delta\leq w(x)\leq 1$. Assume that $p(\cdot):\ \mathbb{R}^n\to (0,\,1]$ is a variable exponent satisfying the globally $\log$-Hölder continuous condition. In this article, the authors show that the mappings $H_L^{p(\cdot)}(\mathbb{R}^n)\ni f\mapsto wf\in H^{p(\cdot)}(\mathbb{R}^n)$ and $H_L^{p(\cdot)}(\mathbb{R}^n)\ni f\mapsto (-\Delta)^{1/2}L^{-1/2}(f)\in H^{p(\cdot)}(\mathbb{R}^n)$ are isomorphisms between the variable Hardy spaces $H_L^{p(\cdot)}(\mathbb{R}^n)$, associated with $L$, and the variable Hardy spaces $H^{p(\cdot)}(\mathbb{R}^n)$.
    参考文献 | 相关文章 | 多维度评价
    18. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A COUPLED SYSTEM OF KIRCHHOFF TYPE EQUATIONS
    Yaghoub JALILIAN
    数学物理学报(英文版)    2020, 40 (6): 1831-1848.   DOI: 10.1007/s10473-020-0614-7
    摘要18)      PDF       收藏
    In this paper, we study the coupled system of Kirchhoff type equations \begin{equation*} \left\{ \begin{array}{ll} -\bigg(a+b\int_{\mathbb{R}^3}{|\nabla u|^{2}{\rm d}x}\bigg)\Delta u+ u = \frac{2\alpha}{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta}, & x\in \mathbb{R}^3, \\[3mm] -\bigg(a+b\int_{\mathbb{R}^3}{|\nabla v|^{2}{\rm d}x}\bigg)\Delta v+ v = \frac{2\beta}{\alpha+\beta}|u|^{\alpha}|v|^{\beta-2}v, & x\in \mathbb{R}^3, \\[2mm] u,v\in H^{1}(\mathbb{R}^3), \end{array} \right. \end{equation*} where $a,b > 0$, $ \alpha, \beta > 1$ and $3 < \alpha+\beta < 6$. We prove the existence of a ground state solution for the above problem in which the nonlinearity is not 4-superlinear at infinity. Also, using a discreetness property of Palais-Smale sequences and the Krasnoselkii genus method, we obtain the existence of infinitely many geometrically distinct solutions in the case when $ \alpha, \beta \geq 2$ and $4\leq\alpha+\beta < 6$.
    参考文献 | 相关文章 | 多维度评价
    19. THE PROXIMAL RELATION, REGIONALLY PROXIMAL RELATION AND BANACH PROXIMAL RELATION FOR AMENABLE GROUP ACTIONS
    连媛, 黄小军, 李智强
    数学物理学报(英文版)    2021, 41 (3): 729-752.   DOI: 10.1007/s10473-021-0307-x
    摘要18)      PDF       收藏
    In this paper, we study the proximal relation, regionally proximal relation and Banach proximal relation of a topological dynamical system for amenable group actions. A useful tool is the support of a topological dynamical system which is used to study the structure of the Banach proximal relation, and we prove that above three relations all coincide on a Banach mean equicontinuous system generated by an amenable group action.
    参考文献 | 相关文章 | 多维度评价
    20. MULTIPLE SOLUTIONS FOR THE SCHRÖDINGER-POISSON EQUATION WITH A GENERAL NONLINEARITY
    蒋永生, 魏娜, 吴永洪
    数学物理学报(英文版)    2021, 41 (3): 703-711.   DOI: 10.1007/s10473-021-0304-0
    摘要18)      PDF       收藏
    We are concerned with the nonlinear Schrödinger-Poisson equation \begin{equation} \tag{P} \left\{\begin{array}{ll} -\Delta u +(V(x) -\lambda)u+\phi (x) u =f(u), \\ -\Delta\phi = u^2,\ \lim\limits_{|x|\rightarrow +\infty}\phi(x)=0, \ \ \ x\in \mathbb{R}^3, \end{array}\right. \end{equation} where $\lambda$ is a parameter, $V(x)$ is an unbounded potential and $f(u)$ is a general nonlinearity. We prove the existence of a ground state solution and multiple solutions to problem (P).
    参考文献 | 相关文章 | 多维度评价