检索结果-南通市图书馆

PARAMETERS OF DARBOUX TRANSFORMATION FOR REDUCED AKNS,KAUP-NEWELL AND PCF SYSTEMS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1999年第2期20卷 195-204页

作者： ZHOU ZIXIANG(institute of mathematics, fudan university,{2.) fudan Univ Inst Math Shanghai 200433 Peoples R China

FOr the integrable system with u(p, q) reduction, there is a well-known sufficient conditionto choose the parameters: the spectral parameters only take two mutually conjugate valuesand the solutions of the Lax pair should satisfy certain orthogonal relations. In this paper, theauthor proves that, for the AKNS system, the Kaup-Newed system and the principal chiralfield (PCF), this condition is also necessary for generic potentials with the u(p, q) *** some other reductions, sufficiency and necessity of more constraints are proved.

关键词： Darboux transformation Spectral parameters u(p q) reduction

THE MODULI SPACE OF COMPLEX LAGRANGIAN SUBMANIFOLDS IN THE HYPER-KAEHLER MANIFOLD

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1999年第4期20卷 393-400页

作者： FU JIXIANG(institute of mathematics, fudan university,{2., China) fudan Univ Inst Math Shanghai 200433 Peoples R China

The deformation of a compact complex Lagrangian submanifold in a hyper-Kaehler manifold and the moduli space are studied. It is proved that the moduli space Mc1 is a special Kaehler manifold, where special means that there is a real flat torsionfree symplectic connection satisfying dI = 0 (I is a complex structure of Mcl). Thus, following [4], one knows thatT*Mcl is a hyper-Kaehler manifold and then that Mcl is a complex Lagrangian submanifold in T* Mcl.

关键词： Moduli space Complex Lagrangian submanifold Hyper-Kaehler manifold Special Lagrangian submanifold Special Kaehler manifold Deformation

THE OCCUPATION DENSITY FIELD FOR THE CATALYTIC SUPER-BROWNIAN MOTION

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1999年第4期20卷 447-454页

作者： HONG WENMING(institute of mathematics, fudan university{2., China) fudan Univ Inst Math Shanghai 200433 Peoples R China

It is proved that the occupation time of the catalytic super-Brownian motion is absolutely continuous for d = 1, and the occupation density field is jointly continuous and jointly Holder continuous.

关键词： Branching rate functional Brownian collision local time Catalytic super-Brownian motion Occupation time Occupation density field

BLOW UP OF SOLUTIONS TO THE CAUCHY PROBLEM FOR NONLINEAR WAVE EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2001年第3期22卷 275-280页

作者： ZHOU YI institute of mathematics, fudan university,{2., China institute of mathematics Fudan University Shanghai 200433 China

The author proves blow up of solutions to the Cauchy problem of certain nonlinear equations and, also, estimates the time when the blow up occurs.

关键词： Cauchy problem Nonlinear wave equation Blow up

Fredholm operators in Toeplitz algebras associated with discrete abelian groups

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第14期43卷 1175-1179页

作者： XU Qingxiang 1 and CHEN Xiaoman 2.1. Department of mathematics, shanghai Normal {2., shanghai 2.02.4, China 2. Laboratory of mathematics for Nonlinear Sciences and institute of mathematics, fudan university, shanghai 2.0433, China Department of mathematics Shanghai Normal University Shanghai China Laboratory of mathematics for Nonlinear Sciences and institute of mathematics Fudan University Shanghai China

The locally finite below sets are introduced and the Fredholm operators in Toeplitz algebras associated with discrete abelian groups are studied.

关键词： discrete abelian group quasi_ordered group Toeplitz operator Fredholm operator.

ON A CONSTRUCTION OF INERTIALMANIFOLDS FOR A CLASS OF SECOND ORDER IN TIME EVOLUTION EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1999年第3期20卷 271-278页

作者： WANG ZONGXIN(institute of mathematics, fudan university,{2., China.) fudan Univ Inst Math Shanghai 200433 Peoples R China

Inertial manifolds for a class of second order in time dissipative equations are *** author also proves an asymptotic completeness property for the inertial manifolds and characterizes the inertial manifolds as the set of trajectories whose growth is at most of order O(e-μt ) for some p > 0. As applications, a nonlinear wave equation and a problem of nonlinear oscillations of a shallow shell are considered.

关键词： Dynamical systems Inertial manifolds Nonlinear evolution equations

GLOBAL CLASSICAL SOLUTIONS WITH SMALL INITIAL TOTAL VARIATION FOR QUASILINEAR HYPERBOLIC SYSTEMS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2002年第3期23卷 335-348页

作者： YAN PING institute of mathematics, fudan university,{2., China institute of mathematics Fudan University Shanghai 200433 China

By means of the continuous Glimm functional, a proof is given on the global existence of classical solutions to Cauchy problem for general first order quasilinear hyperbolic systems with small initial total variation.

关键词： Weak linear degeneracy Continuous Glimm functional Total variation Global classical solution Quasilinear hyperbolic system

ON INTERACTION OF SHOCK AND SOUND WAVE (Ⅰ)

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1996年第4期17卷 35-42页

作者： CHEN SHUXING(institute of mathematics, fudan university{2., China.) 复旦大学数学系上海

This paper studies the ioteraction of shock and gradient wave (sound wave) of solutions to the system of inviscid isentropic gas dynamics as a model for the corresponding problems for nonlinear hyperbolic systems. The problem can be reduced to a boundary value problem in a wedged domain. By using the method of constructing asymptotic solutions and Newton’s iteration process it is proved that if a weak shock hits a gradient wave, then the grandient wave will split into two gradient waves, while the shock continuses propagating. In this paper the author reduces the problem to a standard form and constructs asymptotic solution of the problem. The existence of the genuine solution will be given in the following paper.

关键词： Shock wave Sound wave Nonliner hyperbolic system Asymptotic solution

THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1995年第1期16卷 43-50页

作者： Xu You (institute of mathematics, fudan university,{2., shanghai, China). fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

This paper defines the upper capacity densities of the subsets of R￣n, gets uniform lower bound of the upper capacity densities for -almost all points of the Hausdorff s-sets or the analytic sets with Hausdorff dimen... 详细信息

关键词： Capacity density Hausdorff dimension Fractal set.