检索结果-南通市图书馆

STABILITY OF THE RAREFACTION WAVE FOR THE GENERALIZED KDV-BURGERS EQUATION

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2002年第3期22卷 319-328页

作者：王治安朱长江 Laboratory of Nonlinear Analysis Department of MathematicsCentral China Normal University Wuhan 430079

This paper is concerned with the stability of the rarefaction wave for the generalized KdV-Burgers equation [GRAPHICS] Roughly speaking, under the assumption that u(-) 0 as t --> infinity, where u(R)(x/t) is the rare... 详细信息

关键词： XdV-Burgers equation rarefaction wave a priori estimate L-2-energy method

EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2000年第1期20卷 131-136页

作者：彭志刚刘伦刚 College of mathematics and Computer Science Hubei University Wuhan 430062 China wuhan institute of physics and mathematics Chinese Academy of Sciences Wuhan 430071 China

Suppose that {b(n)} and {c(n)} are two positive sequences. Let F({b(n)}, {c(n)}) = {f(z) : f(z) is analytic in \z\ < 1, f(z) = z - Sigma(n=2)(+infinity) a(n)z(n), a(n) greater than or equal to 0, Sigma(n=2)(+infinity)... 详细信息

Suppose that {b(n)} and {c(n)} are two positive sequences. Let F({b(n)}, {c(n)}) = {f(z) : f(z) is analytic in \z\ 2)(+infinity) a(n)z(n), a(n) greater than or equal to 0, Sigma(n=2)(+infinity) b(n)a(n) less than or equal to 1 and Sigma(n=2)(+infinity) c(n)a(n) less than or equal to 1}. This article obtains the extreme points and support points of F({b(n)}, {c(n)}).

关键词： topology of uniform convergence compact subsets of the unit disk extreme point support point

SOME CHARACTERIZATIONS OF α-BLOCH SPACES ON THE UNIT BALL OF C^n

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1997年第4期17卷 471-477页

作者：杨微生 Young Scientists Lab. of Mathematical physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences P.O. Box 71010 Wuhan 430071 China

In this paper,we get the invariant gradient characterizations and β-Carleson measure characterization of α-Bloch *** examples are also given to show that the condition about α is the best.

关键词： invariant gradient α-Bloch β-carleson measure

VECTOR-VALUED HOLOMORPHIC FUNCTIONS ON THE COMPLEX BALL AND THE ANALYTIC RADON-NIKODYM PROPERTY

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2000年第2期20卷 278-288页

作者：陈泽乾欧阳才衡 wuhan institute of physics and mathematics Chinese Academy of Sciences Wuhan 430071 China

The complex Banach spaces X with values in which every bounded holomorphic function in the unit hall B of C-d(d > 1) has boundary limits almost surely are exactly the spaces with the analytic Radon-Nikodym property. The proof is based on inner Hardy martingales introduced here. The inner Hardy martingales are constructed in terms of inner functions in B and are reasonable discrete approximations for the image processes of the holomorphic Brownian motion under X-valued holomorphic functions in B.

关键词： Complex Banach spaces the analytic Radon-Nikodym property inner functions inner Hardy martingales

THE ASYMPTOTIC PERIODICITY OF LORENZ MAPS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1999年第1期19卷 114-120页

作者：丁义明范文涛 wuhan institute of physics and mathematics The Chinese Academy of Sciences Wuhan 430071 China

A Lorenz map f : I --> I is a one dimensional piecewise monotone map with a single discontinuity c. Let [GRAPHICS] be the collection of all the preimsges of c. Authors prove that if C'(f) is countable then there exists M such that Card(omega(x)) less than or equal to M for all x is an element of I. If C'(f) is uncountable then omega(x) is uncountable for some x is an element of I. So f is asymptotically periodic if and only if C'(f) is countable.

关键词： Lorenz map critical point derived set asymptotically periodic renormalization

FRACTAL PROPERTIES OF STATISTICALLY SELF-SIMILAR SETS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2000年第2期20卷 256-260页

作者：余旌胡范文涛 wuhan institute of physics and mathematics The Chinese Academy of Sciences Wuhan 430071

In this paper, authors compute the Packing dimension of statistically selfsimilar sets and obtaine the dimension and dimension distribution of statistically self-similar measure.

关键词： statistically self-similar set statistically self-similar measure dimension distribution contractive map

DIRICHLET PROBLEMS FOR STATIONARY VON NEUMANN-LANDAU WAVE EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2009年第5期29卷 1225-1232页

作者：陈泽乾 wuhan institute of physics and mathematics Chinese Academy of Sciences

In this article, we are concerned with the Dirichlet problem of the stationary von Neumann-Landau wave equation：{（-△x＋△y）φ（x,y）=0,x,y∈Ωφ｜δΩxδΩ=fwhere Ω is a bounded domain in R^n. By introducing anti-inner product spaces, we show the existence and uniqueness of the generalized solution for the above Dirichlet problem by functional-analytic methods.

关键词： von Neumann-Landau equation wave functions Dirichlet problem

SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R^N

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2006年第3期26卷 525-536页

作者：王征平周焕松 wuhan institute of physics and mathematics chinese academy of sciences P.O.Box 71010 Wuhan 430071China Graduate School chinese academy of sciences Beijing 100049China

For the following elliptic problem {-△u-μu/｜x｜^2=｜u｜^2^＊（s）-2u/｜x｜^s＋h（x）, on R^N u∈D^1,2（R^N）, N≥3, 0≤μ〈μ^-=（N-2）^2/4, 0≤s〈2, where 2^＊（s）=2（N-s）/N-2 is the critical Sobolev-Hardy exponent, h（x） ∈ （D^1,2（R^N））^＊, the dual space of （D^1,2（R^N））, with h（x）≥（≠）0. By Ekeland＇s variational principle, subsuper solutions and a Mountain Pass theorem, the authors prove that the above problem has at least two distinct solutions if ｜｜h｜｜＊〈CN,sAs^N-s/4-2s（1-μ/μ）^1/2, CN,s=4-2s/N-2（N-2/N＋2-2s）^N＋2-2s/4-2s and As = inf u∈D^1,2（R^N）／{0}∫R^N（｜△↓u｜^2-μu^2/｜x｜^2）dx/（∫R^N｜u｜^2^＊（s）/｜x｜^sdx）^2/2^＊（s）.

关键词： Critical Sobolev-Hardy exponent elliptic equation Mountain Pass theorem subsuper solutions nonhomogeneous

THE EXISTENCE OF SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS WITH CHANGE OF SIGN

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2001年第4期21卷 469-482页

作者：李工宝余纯 Young Scientist Laboratory of Mathematical sciences Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences P.O. Box 71010 Wuhan 430071 China Department of mathematics Wuhan University Wuhan 430072 China

This paper considers the following quasilinear elliptic problem [GRAPHICS] where Omega is a bounded regular domain in R-N (N greater than or equal to 3), N > p > 1. When g(u) satisfies suitable conditions and g(u)u - beta integral (u)(0) g(s)ds is unbounded, a(x) is a Holder continuous function which changes sign on Omega and integral (Omega-) \a(x)\ dx is suitably small. The authors prove the existence of a nonnegative nontrivial solution for N > p > 1. in particular, the existence of a positive solution to the problem for N > p greater than or equal to 2. Our main theorem generalizes a recent result of Samia Khanfir and Leila Lassoued (see [1]) concerning the case where p = 2. They prove also that if g(u) = \u \ (q-2)u with p 0} is a nonempty open set, then the above problem possesses infinitely many solutions.

关键词： qasilinear elliptic equation (PS) condition mountain-pass Lemma infinite solution