搜索结果: 16-23 共查到“奇点理论”相关记录23条 . 查询时间(2.576 秒)
A Note on the Paper $"$Poincaré Inequality on the Path Space of Poisson Point Processes"
Paper $"$Poincaré Inequality ath Space of Poisson Point Processes"
2010/12/1
In the recent paper [2] we proved a Poincar´e inequality on the path space of compound Poisson processes by using transition probabilities and the Markov property. Our purpose
is to develop a g...
In this work we prove some Hardy-Poincar´e inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with vertex on the sing...
A criterion for non-degeneracy of singularities of integrable Hamiltonian systems
criterion non-degeneracy of singularities integrable Hamiltonian systems
2010/12/15
Let (M, !) be a symplectic 2n-manifold and h1, . . . , hn be functionally independent com-
muting functions onM. We present a geometric criterion for non-degeneracy of a singular point P ∈ M (i.e. su...
A note on Hardy's inequalities with boundary singularities
Hardy inequality extremals p-Laplacian
2010/12/8
Let be a smooth bounded domain in RN with N 1. In this paper we study the Hardy-Poincar´e inequalities with weight function singular at the boundary of .In particular we give sufficient condit...
Reduction of Singularities of Three-Dimensional Line Foliations
Singularities of Three-Dimensional Line Foliations
2010/12/1
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...
Handlebody argument for modifying achiral Lefschetz singularities
Handlebody argument achiral Lefschetz singularities
2010/11/30
In [3] we gave a handlebody description of a broken Lefschetz fibration on CP2 as a ounterexample to Gay and Kirby’s conjecture on the necessity of negative Lefschetz singularities for generalized fib...
关于向量场的奇点指数和
2007/12/13
在[4]中我们证明了一个公式Ind(ξ)-Ind(η)=ν(ξ,η*),并指出它可以使Hopf指数和公式变为一个更广的形式.本文则进一步对此公式做点解释,说明推广的Hopf指数和公式,拓扑度理论中的基本事实以及著名的Borsuk-Ulam定理皆是它的推论.同时指出分析中的某些定理(例如本文提到的定理4,定理5),事实上也可出自该公式.
具多个奇点的微分方程的全局性质
具多个奇点 微分方程 全局性质
2007/12/11
本文讨论一类具多个奇点的非线性微分方程的一切解的有界性及包围多个奇点的极限环的存在性.应用这些结果完整地分析了一类三次多项式系统的包围三个奇点的极限环的全局分支.