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分析学中若干前沿问题研究
  • 项目名称：分析学中若干前沿问题研究
  • 项目类别：创新研究群体科学基金
  • 批准号：11021091
  • 申请代码：A0105
  • 项目来源：国家自然科学基金
  • 研究期限：2011-01-01-2013-12-31
  • 项目负责人：周向宇
  • 负责人职称：研究员
  • 依托单位：中国科学院数学与系统科学研究院
  • 批准年度：2010
中文摘要：

中文主题词多复变；偏微分方程及其在几何与物理中的应用；动力系统；临界点理论；

中文主题词：
英文摘要：

several complex variables；partial differential equations and their applicati；dynamical systems；theory of critical points；

英文主题词： several complex variables；partial differential equations and their applicati；dynamical systems；theory of critical points；
成果综合统计
成果类型
数量
  • 期刊论文
  • 会议论文
  • 专利
  • 获奖
  • 著作
  • 54
  • 49
  • 0
  • 0
  • 1
期刊论文
Semi-classical limits of ground states of a nonlinear Dirac equation
Long Wave Approximation to the 3-D Capillary-Gravity Wave
On a theorem of Rees-Shishikura
Geometric Schr?dinger-Airy flows on K?hler manifolds
Generalized L^2 extension theorem and a conjecture of Ohsawa
Liuqing Yang, Symplectic mean curvature flow in CP^2
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals
Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
Sums of large global solutions to the incompressible Navier-Stokes equations
A characterization of hyperbolic rational maps
Geometrically finite and semi-rational branched coverings of the two-sphere. Trans
Shared values, Picard values and normality
Stability to the global large solutions of the 3-D inhomogeneous Navier-Stokes equations
Schrodinger solitons from Lorentzian manifolds
Global solutions to the 3-D incompressibleanisotropic Navier-Stokes system in the critical spaces
The Dirac–Witten operator on pseudo-Riemannian manifolds
Large global solutions to the 3-D inhomogeneous Navier-Stokes equations
The Fukumoto--Moffatt’s model in the vortex filament and generalized bi-Schrodinger maps
Global solutions to 2-D inhomogeneous Navier–Stokes system with general velocity
Existence of semiclassical states for a quasilinear Schr?dinger equation with critical exponent in R
Existence and concentration of semi-classical solutions for a nonlinear Maxwell-Dirac system
Semiclassical solutions of Schr?dinger equations with magnetic fields and critical nonlinearities
On semiclassical states of a nonlinear Dirac equation
Existence of solutions for singularly perturbed Schr?dinger equations with nonlocal part
Existence and multiplicity of semiclassical states for a quasilinear Schr?dinger equation in R^N
An inequality of the holomorphic invariant forms
Dynamics of Transcendental Entire Maps on Berkovich Affine Line
On Bank-Laine type Functions
Dynamics of Commuting Rational Maps on Berkovich Projective Space over C_p
A New Characterization of Line-to-line Maps in the Upper Plane
Nonexistence of quasi-harmonic spheres with large energy
The Q-curvature on a 4-dimensional Riemannian manifold (M,g) with ∫MQdVg=8π2
Optimal constant problem in the L^2 extension theorem
The gradient flow of Higgs pairs
Existence of 2D Skyrmions
Geometric KdV flows, Motions of curves and the third-order system of the AKNS hierarchy
KdV geometric flows on Kahler manifolds
On Semiclassical Group States of a Nonlinear Dirac Equation
p-Adic Numbers
会议论文
On the symplectic mean curvature ows
Dynamics on Berkovich Projective Space
On Complex Dynamics
Conformal Invariance and Loewner Equation
Dynamics on Berkovich Space
Steady states of Fokker-Planck equation on R^n
Mean curvature flows along Kahler Ricci flows
Some recent results on semi classical states for quantum systems
On Dynamics over Berkovich Projective Space
Several complex variables: brief introduction and recent progress
On L^2 extension problem,
L^2 extension and multiplier ideal sheaf
Some recent results on L^2 extension problem
L^2 extension and multiplier ideal sheaf
Some recent results on L^2 extension problem
Roles of group actions in several complex variables
Dynamics over Berkovich projective space
Spin geometry and positive energy theorem
Two ways to find holomorphic curves in Kähler surfaces
On the symplectic mean curvature flows
逼近调和映照列的能量等式
Global well-posedness for the 2-D inhomogeneous Navier-Stokes system with general velocity
Some recent results on semi classical states for Dirac systems
Steady States of the Fokker-Planck Equations
Deformation Quantization and Noncommutative Black Holes
Lectures on the linear wave equations on Kerr spacetimes
Semiclassical Ground States of a Nonlinear Dirac Equation
Semi-classical limits of ground states of a nonlinear Dirac equation
强不定问题的变分方法
Fokker-Planck方程的稳态解
Optimal constant problem in L2 extension theorem and rigidity problem for automorphism groups
多复变在数学所
Dynamics of rational maps
On P-adic Dynamical Systems
Some recent results on L^2 extension problem and applications
Steady states of Fokker-Planck equation on R^n
Spacelike hypersurfaces with negative total energy in de Sitter spacetime
Seimiclassical limits of ground states of a nonlinear Dirac equation
Geometric KdV Flows and Some Related Problems
Semiclassical Ground States of a Nonlinear Dirac Equation
On Dynamical Systems over Berkovich Space
On Dynamical Systems over Berkovich Space
On Algebraic Dynamical Systems
On Douady-Earle extension and its application
Dynamics of rational maps
On Douady-Earle extension and its application
Some results on L^2 extension problem with optimal estimate
Some results on the L2 extension problem
Semiclassical Ground States for Nonlinear Dirac Equations
著作
典型流形与典型域
周向宇的项目
《数学译林》
分析学中若干前沿问题研究
期刊论文 77 会议论文 40 著作 1
《数学译林》
多复变与复几何前沿问题研究
多复变与复几何若干问题研究
期刊论文 21 会议论文 2
分析学中若干前沿问题研究
期刊论文 81 著作 4
资助“数学译林”
《数学译林》
流形上的几何、分析和计算
期刊论文 2
多复变与李群论
多复变函数论