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.
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页数：38
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