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ADDITIVE FUNCTIONALS AND PERTURBATION OF SEMIGROUP

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Chinese Annals of mathematics,Series B 2001年第4期22卷 503-512页

作者： JIN MENGWEI, YING JIANGANG department of mathematics, Zhejiang university, Hongzhou 310027, china. Email: .jmw@*** department of mathematics, Zhejiang university, Hongzhou 310027, china. Email: jying@*** department of mathematics Zhejiang University Hongzhou 310027 China

The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are di... 详细信息

关键词： Right processes Revuz measures Additive functional

CHAOS FOR MIXING TRANSFORMATIONS

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Chinese Annals of mathematics,Series B 1994年第4期15卷 501-506页

作者： LIAO GONGFU (department of mathematics,Jilin university, Changchun 130023, china.) JILIN UNIV DEPT MATH CHANGCHUN 130023 PEOPLES R CHINA

For a class of mixing transformations of a compact metric space it is proved that each chaoticsubset is'small' but the possibility for any finite subset to display chaotic behavior is 'large'.

关键词： Compact metric space Chaotic subset Mixing transformation Topological mixing map.

LOCAL WELL-POSEDNESS AND ILL-POSEDNESS ON THE EQUATION OF TYPE □u= u^k(u)~α

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Chinese Annals of mathematics,Series B 2005年第3期26卷 361-378页

作者： FANGDAOYUAN WANGCHENGBO departmentofmathematics ZhejiangUniversityHangzhou310027China

This paper undertakes a systematic treatment of the low regularity local well-posedness and ill-posedness theory in H3 and Hs for semilinear wave equations with polynomial nonlinearity in u and (?)u. This ill-posed re... 详细信息

关键词： Semilinear wave equation Low regularity Local well-posedness Ill-posedness

PROGRESSING WAVE SOLUTIONS TO QUASI-LINEAR SYSTEMS MIXED PROBLEMS

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Chinese Annals of mathematics,Series B 1994年第4期15卷 401-420页

作者： WANG WEIKE(department of mathematics,Wuhan university,Wuhan 430072,china.) WUHAN UNIV DEPT MATHWUHAN 430072PEOPLES R CHINA

The author studies the technique of paradifferential operator defined on a space of conormaldistribution with three indeces,and then use this technique to prove that a progressing wavewhich hits the boundary is reflec... 详细信息

关键词： Quasi-linear system Mixed problem Conormal distribution Tangential Paradifferential operator Reflection of progressing wave.

THE UNIQUENESS OF BIFURCATION TO SEPARATRIX LOOPS IN SUPERCRITICAL CASES

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Chinese Annals of mathematics,Series B 1994年第4期15卷 493-500页

作者： SUN JIANHUA (department of mathematics, Nanjing university, Nanjing 210008, china.) NANJING UNIV DEPT MATHNANJING 210008PEOPLES R CHINA

In paper[4]the existence of bifurcation to separatrir loops in supercritical cases on the planeis studied. This note is a continuation of [4].The author proves the uniqueness of limit cyclesin a neighborhood of the sa... 详细信息

关键词： Supercritical Separatrir loop Bifurcation Limit cycle Uniqueness.

A QUASI-NEWTON METHOD IN INFINITE-DIMENSIONAL SPACES AND ITS APPLICATION FOR SOLVING A PARABOLIC INVERSE PROBLEM

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Journal of Computational mathematics 1998年第4期16卷 305-318页

作者： Wen-huan Yu(department of mathematics, Tianjin university, Tianjin 300072, P.R. china.) Tianjin Univ Dept Math Tianjin 300072 Peoples R China

A Quasi-Newton method in Infinite-dimensional Spaces (QNIS) for solving operator equations is presellted and the convergence of a sequence generated by QNIS is also proved in the paper. Next, we suggest a finite-dimensional implementation of QNIS and prove that the sequence defined by the finite-dimensional algorithm converges to the root of the original operator equation providing that the later exists and that the Frechet derivative of the governing operator is invertible. Finally, we apply QNIS to an inverse problem for a parabolic differential equation to illustrate the efficiency of the finite-dimensional algorithm.

关键词： Quasi-Newton method parabolic differential equation inverse problems in partial differential equations linear and Q-superlinear rates of convergence

GLOBAL EXISTENCE AND ASYMPTOTICS BEHAVIOR OF SOLUTIONS FOR A RESONANT KLEIN-GORDON SYSTEM IN TWO SPACE DIMENSIONS

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Chinese Annals of mathematics,Series B 2005年第1期26卷 89-104页

作者： XUERUYING FANGDAOYUAN departmentofmathematics ZhejiangUniversityHangzhou310027China departmentofmathematics ZhejiangUniversityHangzhou310027China

The authors study a resonant Klein-Gordon system with convenient nonlinearities in two space dimensions, prove that such a system has global solutions for small, smooth,compactly supported Cauchy data, and find that t... 详细信息

关键词： Klein-Gordon equation Asymptotic behavior Global existence

GRAPH-DIRECTED STRUCTURES OFSELF-SIMILAR SETS WITH OVERLAPSGRAPH-DIRECTED STRUCTURES OFSELF-SIMILAR SETS WITH OVERLAPSS

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Chinese Annals of mathematics,Series B 2000年第4期21卷 403-412页

作者： HUASu RAOHUI departmentofmathematics TsinghuaUniversityBeijing100084China. departmentofmathematics WuhanUniversityWuhan430072China.

Some kinds of the self-similar sets with overlapping structures are studied by introducing the graph-directed constructions satisfying the open set condition that coincide with these sets. In this way, the dimensions ... 详细信息

关键词： Self-similar sets Graph-directed sets Overlapping Label Pisot number

EXISTENCE OF LIMIT CYCLES IN A MULTIPLY-CONNECTED REGION

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Chinese Annals of mathematics,Series B 1999年第2期20卷 169-172页

作者： ZHANG XIANG(department of mathematics, Naming Normal university, Naming 210097, china.) Nanjing Normal Univ Dept Math Nanjing 210097 Peoples R China

In this paper,a conjecture about the existence of limit cycles in a multiply-connected regionproposed by Ye Yanqian is proved.

关键词： Multiply-connected region Annulus theorem Limit cycle