Potential theory on Riemannian manifoldssome recent results and possible perspectives

来源 :2017几何分析和概率研讨会 | 被引量 : 0次 | 上传用户：songpingqing

【摘要】

：

　　It is well known that potential theory is a common ground where analysis,geometry and probability meet and interact deeply.In this talk we would like to sur

【作者】

：

Stefano Pigola

【机构】

：

Universitadell'Insubria

【出处】

：

2017几何分析和概率研讨会

【发表日期】

：

2017年10期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　It is well known that potential theory is a common ground where analysis,geometry and probability meet and interact deeply.In this talk we would like to survey some of these interactions,especially related to parabolicity and to the $L^1$-Liouville property for positive superharmonic functions.The emphasis will be placed on the case of manifolds with boundary.

其他文献

Continuity of almost harmonic map with approximation in a critical Zygmmund class

　　We study the continuity of almost harmonic map(or approximation of harmonic maps)△u=A(▽u,▽u)+f u∈H1(Ω,N),Ω(∩)Rn,n>2 a bounded domain and(N,h)compact

会议

On Exterior Problems of Elliptic and Parabolic Monge-Ampere Equations

　　We shall survey the results on Jorgens-Calabi-Pogorelov theorem and the asymptotic behavior of elliptic Monge-Ampereequations.As the main content of this ta

会议

Regularity Analysis for A Class of Singular Elliptic Equations

　　This talk is based on the recent joint works with Xu-Jia Wang and Jian Lu.We will study the optimal regularity for the Dirichlet problem to a Class of fully

会议

三维仿射与半-欧氏空间中的曲线

　　研究二维、三维空间中的参数曲线的中心仿射微分几何。参数曲线的仿射性质、度量性质及其关系。给出一些特殊曲线。

会议

Soliton dynamics in dispersive equations

　　In this talk we focus on the problem of large time behavior for solutions to nonlinear dispersive equations.These equations are typically non-integrable and

会议

An improved remainder estimate in the Weyl formula for the planar disk

　　Y.Colin de Verdiere proved in 2011 that the remainder term is of order $O(lambda^{2/3})$ in the two-term Weyl formula for the eigenvalue counting function

会议

Estimates and properties of heat kernel for non-local operators with variable order

会议

From random matrices to random operators

　　The local eigenvalue statistics of random band matrices,which interpolate between random Schrodinger operators(Poisson statistics)and random matrices(GOE/GU

会议

Lagrangian sections in TS^2

　　Lagrangian surfaces are a tool in the study of the geometry and topology of the ambient symplectic four-manifold.We will review the landmark result of M Gro

会议

DDVV-type inequalities and its applications

　　We will talk about DDVV-type inequalities which are optimal inequalities about sum of square norms of commutators of a sequence of matrices.For some certain

会议

Potential theory on Riemannian manifoldssome recent results and possible perspectives

与本文相关的学术论文