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THE HILBERT BOUNDARY VALUE PROBLEM FOR GENERALIZED ANALYTIC FUNCTIONS IN CLIFFORD ANALYSIS SI Zhong-Wei, DU Jin-Yuan Acta mathematica scientia,Series B    2013, 33 (2): 393-403.   DOI: 10.1016/S0252-9602(13)60006-5 Abstract （63293）      PDF（pc） （185KB）（509）       Save Let R0,n be the real Clifford algebra generated by e1, e2, … , en satisfying eiej +ejei = −2δij , i, j = 1, 2, … , n. e0 is the unit element. Let Ω be an open set. A function f is called left generalized analytic in Ω if f satisfies the equation Lf = 0, (0.1) where L = q0e0∂x0 + q1e1∂x1 + … + qnen∂xn, qi > 0, i = 0, 1, … , n. In this article, we first give the kernel function for the generalized analytic function. Further, the Hilbert boundary value problem for generalized analytic functions in Rn+1+ will be investigated. Reference | Related Articles | Metrics

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TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS LI Jie-Quan, CHENG Mo-Cheng, ZHANG Tong, ZHENG Yu-Xi Acta mathematica scientia,Series B    2009, 29 (4): 777-802.   DOI: 10.1016/S0252-9602(09)60070-9 Abstract （2068）      PDF（pc） （505KB）（1999）       Save In this paper we survey the authors’ and related work on two-dimensional Rie-mann problems for hyperbolic conservation laws, mainly those related to the compressible Euler equations in gas dynamics. It contains four sections: 1. Historical review. 2. Scalar conservation laws. 3. Euler equations. 4. Simplified models. Reference | Related Articles | Metrics

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A CASE STUDY IN THE APPLICATION OF SUPERSATURATED DESIGNS TO COMPUTER EXPERIMENTS Liu Minqian; Fang Kaitai Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60085-4

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ON THE 3D VISCOUS PRIMITIVE EQUATIONS OF THE LARGE-SCALE ATMOSPHERE GUO Bai-Ling, HUANG Dai-Wen Acta mathematica scientia,Series B    2009, 29 (4): 846-866.   DOI: 10.1016/S0252-9602(09)60074-6 Abstract （1956）      PDF（pc） （234KB）（1419）       Save This paper is devoted to considering the three-dimensional viscous primitive equations of the large-scale atmosphere. First, we prove the global well-posedness for the primitive equations with weaker initial data than that in [11]. Second, we obtain the existence of smooth solutions to the equations. Moreover, we obtain the compact global attractor in V for the dynamical system generated by the primitive equations of large-scale atmosphere, which improves the result of [11]. Reference | Related Articles | Metrics

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BLOW-UP AND GLOBAL EXISTENCE FOR A COUPLED SYSTEM OF DEGENERATE PARABOLIC EQUATIONS IN A BOUNDED DOMAIN Mu Chunlai; Hu Xuegang; Li Yuhuan; Cui Zejian Acta mathematica scientia,Series B    Abstract （1871）      PDF（pc） （177KB）（1680）       Save This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut=△ ul+up1vq1 and vt=△ vm+up2vq2 with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p2q1-(l-p1)(m-q2), the initial data, and the domain $\Omega$. Related Articles | Metrics

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THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION Shang Yadong Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60014-9

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A NOTE ON ASYMPTOTIC BEHAVIOR FOR NEGATIVE DRIFT RANDOM WALK WITH DEPENDENT HEAVY-TAILED STEPS AND ITS APPLICATION TO RISK THEORY Wang Dingcheng; Su Chun Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60002-2

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MULTIPLIERS AND TENSOR PRODUCTS OF L(p, q) LORENTZ SPACES Hakan Avci; A. Turan Gurkanli Acta mathematica scientia,Series B    Abstract （1763）      PDF（pc） （177KB）（1283）       Save Let G be a locally compact abelian group. The main purpose of this article is to find the space of multipliers from the Lorentz space L(p1, q1)(G) to L(p2', q2')(G). For this reason, the authors define the space Ap1,q1p2,q2(G), discuss its properties and prove that the space of multipliers from L(p1, q1)(G) to L(p2', q2')(G) is isometrically isomorphic to the dual of Ap1,q1p2,q2(G). Related Articles | Metrics

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UNIFORM PACKING DIMENSION RESULTS FOR MULTIPARAMETER STABLE PROCESSES Zhong Yuquan; Hu Dihe Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60001-0

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A COMPARISON OF FORECASTING MODELS OF THE VOLATILITY IN SHENZHEN STOCK MARKET Pang Sulin; Deng Feiqi; Wang Yanming Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60011-3

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NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF NONNEGATIVE SOLUTIONS OF INHOMOGENEOUS p-LAPLACE EQUATION Dai Qiuyi; Peng Lihui Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60004-6

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GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY Chen Zhenlong Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60007-1

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A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS Zhai Chengbo; Guo Chunmei Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60041-1

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THE EIGENVALUE PROBLEM FOR THE LAPLACIAN EQUATIONS Shao Zhiqiang; Hong Jiaxing Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60033-2

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CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION Qiu Jinghui Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60019-8

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INDEPENDENT-SET-DELETABLE FACTOR-CRITICAL POWER GRAPHS Yuan Jinjiang Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60083-0

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A NOTE ON PERTURBATION OF NON-SYMMETRIC DIRICHLET FORMS BY SIGNED SMOOTH MEASURES Chen Chuanzhong Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60020-4

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BV SOLUTIONS TO A DEGENERATE PARABOLIC EQUATION FOR IMAGE DENOISING Kong Linghai; Huan Zhongdan; Guo Boling Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60015-0

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A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY#br# TRUNCATED DATA Zhou Yong; Wu Guofu; Li Daoji Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(06)60084-2

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ENTROPY PRODUCTION RATE OF THE MINIMAL DIFFUSION PROCESS Zhang Fuxi; Qian Min Acta mathematica scientia,Series B    DOI: 10.1016/S0252-9602(07)60013-7