Table of Content

25 March 1993, Volume 13 Issue 1 Previous Issue    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Articles

Select

EXISTENCE AND NONEXISTENCE OF GLOBAL CONTINUOUS SOLUTIONS TO RIEMANN PROBLEM FOR DAMPED p-SYSTEM Lin Longwei, Yang Tong Acta mathematica scientia,Series B. 1993, 13 (1):  1-12.  Abstract ( 59 )   RICH HTML PDF (735KB) ( 43 )   Save In this paper, we extend the result in[16] to general p(v). We prove that, under condition (M) when P ≥ 3/2, where P=ṗp/p, there exists a unique global continuous solution to the Riemann problem (E), (R), whose structure is similar to the local solution. When 1<P* ≤ P*<5/4, or P*=P*=5/4, or 5/4<P* ≤ P*<3/2, where P*=inf P and P*=sup P for all u under consideration, if at least one of the initial centered rarefaction waves is sufficiently strong, then the solution must be breakdown in a finite time. Related Articles | Metrics

Select

THE PATHWISE SOLUTION FOR A CLASS OF QUASILINEAR STOCHASTIC EQUATIONS OF EVOLUTION IN BANACH SPACE Ⅲ Hu Yaozhong Acta mathematica scientia,Series B. 1993, 13 (1):  13-22.  Abstract ( 66 )   RICH HTML PDF (591KB) ( 27 )   Save This is the third part of the papers with the same title. We will discuss the problem of convergence of the semi-implicit difference scheme for a class of quasilinear SEE, which generalize the Crandall's work to the stochastic case. Related Articles | Metrics

Select

ON DETERMINATION OF SOURCE TERMS IN THE 2ND ORDER LINEAR PARITAL DIFFERENTIAL EQUATIONS Yu Wenhuan Acta mathematica scientia,Series B. 1993, 13 (1):  23-32.  Abstract ( 76 )   RICH HTML PDF (561KB) ( 33 )   Save In this paper we consider the existence of the solution to the inverse problem identifying the function pair (q, u) satisfying ∂tu-∂4(aij(x,t)∂ju)+b4(x,t)∂iu+c(x,t)u=q(x,t), ∂vu|∂Ω=0 u|t=0=g(x), u|t=T=z(x). Using the fixed point theory, we obtain the definite answer to the above-mentioned problem under milder conditions. Similar results are also obtained for the elliptic and hyperbolic operators, respectively. Related Articles | Metrics

Select

BLOW-UP OF POSITIVE SOLUTIONS OF A SEMILINEAR HEAT EQUATION Wang Mingxin Acta mathematica scientia,Series B. 1993, 13 (1):  33-38.  Abstract ( 55 )   RICH HTML PDF (360KB) ( 28 )   Save The initial value problem in Rn is discussed, ut(x,t)-△u(x,t)=up(x,t)-u(x,t), u(x,0)=φ(x) ≥ 0. where p>1. It is well known that the solution u(x, t) blows up in finite time for some initial values φ. In this paper, it is proved that the blow-up occurs only at point x=0 for some special initial values φ(x). Related Articles | Metrics

Select

PARACOMMUTATORS ON PRODUCT SPACES Li Chun, Lin Peng, Peng Lizhong Acta mathematica scientia,Series B. 1993, 13 (1):  39-55.  Abstract ( 88 )   RICH HTML PDF (1032KB) ( 29 )   Save The boundedness and the Schatten-von Neumann properties of paracommutators on product spaces are studied. They turn out to be characterized by the membership of their symbols in the BMO space and the Besov spaces on product spaces. Related Articles | Metrics

Select

COMPACT TOEPLITZ OPERATORS ON Ap (φ)(1<p<∞) Xiao Jie Acta mathematica scientia,Series B. 1993, 13 (1):  56-64.  Abstract ( 69 )   RICH HTML PDF (555KB) ( 26 )   Save Let φ be a normal function defined on[0, 1) and Ap(φ) Bergman space weighted with φp(|z|)/(1-|z|2) for 1 ≤ p<∞. The compactnesses of Toeplitz operaters on Ap(φ) are characterized by Carleson measures and operator algebra. Related Articles | Metrics

Select

GLOBAL C1 SOLUTION OF CAUCHY PROBLEM FOR TWO-DIMENSIONAL GAS DYNAMICS SYSTEM Lu Yunguang Acta mathematica scientia,Series B. 1993, 13 (1):  65-73.  Abstract ( 65 )   RICH HTML PDF (461KB) ( 33 )   Save Using the method of characteristic lines this paper considers the global C1 solution of the Cauchy problem for two-dimensional gas dynamics system. When the initial data degenerate to the special case ρ0(x, y)=const, the global C1 solution is obtained. For the case of isentropic exponent γ=1, a transformation about variables is introduced, which changes the system to a first order linear hyperbolic system with constant coefficients and the global C1 solution is also obtained in this case when the initial data of the forms (ρ0(x, y), u0(x, y), v0(x, y))=(exp(ω01 (c1x+d1y)+ω02(c2x+d2y)), u01(c1x+d1y)+u02(c2x+d2y), u01(c1x+d1y)+u02(c2x+d2y)), where ci and di(i=1, 2) are constants. Related Articles | Metrics

Select

EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R2 Cao Daomin, Zhang Zhangjie Acta mathematica scientia,Series B. 1993, 13 (1):  74-88.  Abstract ( 71 )   RICH HTML PDF (793KB) ( 32 )   Save We consider the following eigenvalue problem: -△u=μ(f(x,u)-u) (μ,u)∈R1×H1(R2) x∈R2 Where f(x, t) is a continuous function with critical growth. We prove the existence of nontrivial solutions. Related Articles | Metrics

Select

WEAK STOCHASTIC INTEGRALS WITH RESPECT TO THE WIENER D'-PROCESSES Wu Jianglun Acta mathematica scientia,Series B. 1993, 13 (1):  89-98.  Abstract ( 52 )   RICH HTML PDF (589KB) ( 28 )   Save Assume that D is a nuclear space and D' its strong topological dual space. Let {Bt}t∈(0,∞) be a Wiener D'-process. In this paper, the real-valued and D'-valued weak stochastic integral with respect to {Bt} are established. Related Articles | Metrics

Select

A CHARACTERIZATION OF l1(Γ) TYPE BANACH SPACES Xiao Yuanhui Acta mathematica scientia,Series B. 1993, 13 (1):  99-101.  Abstract ( 63 )   RICH HTML PDF (216KB) ( 33 )   Save In this paper it turns out that a Banach lattice X is order isomorphic to l1(Γ) for some nonempty set Γ iff it is a Schur space and all the infinitely dimensional, separable and closed ideals of X are order isomorphic. Related Articles | Metrics

Select

EXISTENCE OF COUPLED WEAK QUASISOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS Yang Shixin Acta mathematica scientia,Series B. 1993, 13 (1):  102-110.  Abstract ( 63 )   RICH HTML PDF (552KB) ( 31 )   Save In this paper, we use the upper-lower solution method with the theory of monotone operators to obtain the existence of coupled weak quasi-solutions of the following boundary value problem for quasilinear elliptic system -div Ai(x,▽ui(x))=Bi(x,u(x),▽ui(x)) x∈Ω⊂Rn(n ≥ 2) ui(x)=gi(x) x∈∂Ω i=1,…,N. Related Articles | Metrics

Select

THE INITIAL VALUE PROBLEM OF A SYSTEM OF CONSERVATION LAWS Luo Peizhu, Ding Zhong Acta mathematica scientia,Series B. 1993, 13 (1):  111-120.  Abstract ( 62 )   RICH HTML PDF (501KB) ( 31 )   Save Introduction It is very important to study the theory of the multidimensional hyperbolic conservation laws. A typical model is the following initial value problem. Related Articles | Metrics