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LARGE TIME BEHAVIOR OF SOLUTIONS TO NEWTONIAN FILTRATION EQUATIONS WITH SOURCES

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Acta Mathematica Scientia 2010年第3期30卷 968-974页

作者：王路生尹景学王泽佳 department of mathematics Jilin University department of mathematics South China Normal University

This article is concerned with large time behavior of solutions to the Neumann or Dirichlet problem for a class of Newtonian filtration equations ｜x｜λ＋Эt^-Эu=div（｜x｜^k∨u^m）＋｜x｜λ＋ku^p with 0 〈 m 〈 1,p 〉 1,λ≥0, k ∈ R. An interesting phenomenon is that there exist two thresholds k∞ and kl for the exponent k, such that the critical Fujita exponent pc for p exists and is finite if k E （k∞, k1）, otherwise, pc is infinite or does not exist.

关键词： Newtonian filtration equation critical exponent exterior problem Thresh -old

ON THE INVERSE IMAGE SET OF RATIONAL FUNCTIONS

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Acta Mathematica Scientia 2007年第3期27卷 541-548页

作者：孙道椿 department of mathematics South China Normal University

This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in ***＇ theorem incidentally.

关键词： Rational dynamical system Julila set Fatou component

A note for preconditioning nonsymmetric matrices

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Applied mathematics(A Journal of Chinese Universities) 2010年第1期25卷 93-100页

作者： CHEN Xiao-shan LI Wen School of mathematics, south china normal university,{2., china School of mathematics South China Normal University Guangzhou China

In this paper, we consider preconditioners for generalized saddle point systems with a nonsymmetric coefficient matrix. A constraint preconditioner for this systems is constructed, and some spectral properties of the ... 详细信息

关键词： Preconditioner saddle point matrix minimal polynomial Schilder's factorization.

The pointwise dimension of self-similar measures

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Chinese Science Bulletin 1999年第23期44卷 2136-2140页

作者： CHEN Ercai and XIONG Jincheng department of mathematics , Nanjing {2. university , Nanjing 2.0097, china department of mathematics , south china normal university, guangzhou 510631 , china department of mathematics Nanjing Normal University Nanjing China department of mathematics South China Normal University Guangzhou China

The problem about the existence of pointwise dimension of self-similar measure has been discussed. The Hausdorff dimension of the set of those points for which the pointwise dimension does not exist equals the dimenti... 详细信息

关键词： self-similar measure point wise dimension Hausdorff dimension multifractal symbolic space.

On E-Unitary Regular Semigroups

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Acta Mathematica Sinica,English Series 2002年第3期18卷 565-578页

作者： Yong Hua LI department of mathematics. {2., china normal university. guangzhou 510631, P. R. china department of mathematics South China Normal University Guangzhou P. R. China

In this paper we define a concept of a PO-sextet and describe a structure of E-unitary regular semigroups.

关键词： Orthodox semigroup E-unitary regular semigroup Sextet-set PO-semigroup

The generalized Roper-Suffridge extension operator in Banach spaces (Ⅲ)

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Science china mathematics 2009年第11期52卷 2432-2446页

作者： ZHU YuCan1 & LIU MingSheng2.1 department of mathematics,Fuzhou {2.,Fuzhou 350002.china 2.department of mathematics,south china normal {2.,guangzhou 510631,china 1. department of mathematics Fuzhou University Fuzhou 350002 China 2. department of mathematics South China Normal University Guangzhou 510631 China

Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2.γ2....,βn+1,γn+1(f)... 详细信息

关键词： Roper-Suffridge extension operator biholomorphic starlike mapping almost spirallike mapping of type β and order α spirallike mapping of type β and order α

A problem of complex oscillation for homogeneous linear differential equations

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Chinese Science Bulletin 1998年第20期43卷 1709-1712页

作者： GAO Shian and YANG Ronghua department of mathematics,{2. china normal university,guangzhou 510631, china department of mathematics, Guangdong Educational College, guangzhou 510303, china department of mathematics South China Normal University Guangzhou China department of mathematics Guangdong Educational College Guangzhou China

Under a combined dominant condition, an open problem of complex oscillation for the equation \%w (k) +Aw=0\% is set, where \%k≥3, a(z)\% is a transcendental entire function.

关键词： meromorphic function differential equation complex oscillation.

The counting series for (k+1)-uniform linear acyclic hypergraphs

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Chinese Science Bulletin 2001年第3期46卷 197-200页

作者： SHAN Zhilong & LIU Bolian department of mathematics,{2., guangzhou 510631, china department of Computer Science, Guandong Polytechnical normal university, guangzhou 510633, china department of mathematics South China Normal University Guangzhou China department of Computer Science Guandong Polytechnical Normal University Guangzhou China

The explicit formula for (k+l)-uniform linear acyclic hypergraphs and the counting series for unlabeled (k +1)-uniform linear acyclic hypergraphs are obtained.

关键词： hypergraph linear hypergraph hypertree bipartite tree Polya’s Enumeration Theorem.

Quasirational dynamic system

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Chinese Science Bulletin 2000年第14期45卷 1277-1279页

作者： SUN Daochun & YANG Lo1. department of mathematics,{2., guangzhou 510631, china 2. Institute of mathematics, Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, china department of mathematics South China Normal University Guangzhou China Institute of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China

Using the iterations of quasirational mappings, the theorems on dynamic system are generalized to the quasirational dynamic system. Some different results are also obtained.

关键词： quasirational mapping dynamic system covering surface.