Equivalent Semi-Norms of Non-Local Dirichlet Forms on the Sierpiński Gasket and Applications

被引：0
|
作者：
Meng Yang
机构：
[1] Universität Bielefeld,Fakultät für Mathematik
[2] Tsinghua University,Department of Mathematical Sciences
来源：
Potential Analysis | 2018年 / 49卷
关键词：
Non-local Dirichlet form; Trace problem; Mosco convergence; Jumping kernel; 28A80;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct equivalent semi-norms of non-local Dirichlet forms on the Sierpiński gasket and apply these semi-norms to a convergence problem and a trace problem. We also construct explicitly a sequence of non-local Dirichlet forms with jumping kernels equivalent to |x − y|−α−β that converges exactly to local Dirichlet form.
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页码：287 / 308
页数：21
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