Convergence of non-symmetric diffusion processes on RCD spaces

被引：3

作者：

Suzuki, Kohei ^{[1
]}

机构：

[1] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 05期

关键词：

METRIC-MEASURE-SPACES; CURVATURE-DIMENSION CONDITION; RICCI CURVATURE; ALEXANDROV; DERIVATIONS; STABILITY; BOUNDS;

D O I：

10.1007/s00526-018-1398-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct non-symmetric diffusion processes associated with Dirichlet forms consisting of uniformly elliptic forms and derivation operators with killing terms on RCD spaces by aid of non-smooth differential structures introduced by Gigli (Mem Am Math Soc 251(11):1-161, 2017). After constructing diffusions, we investigate conservativeness and the weak convergence of the laws of diffusions in terms of a geometric convergence of the underling spaces and convergences of the corresponding coefficients.

引用

页数：38

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