Homogenization of symmetric Dirichlet forms

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-05-18 DOI:10.2969/JMSJ/85268526

M. Tomisaki, T. Uemura

引用次数: 1

Abstract

We consider a homogenization problem for symmetric jumpdiffusion processes by using the Mosco convergence and the two-scale convergence of the corresponding Dirichlet forms. Moreover, we show the weak convergence of the processes.

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对称Dirichlet形式的均匀化

利用相应的Dirichlet形式的Mosco收敛性和双尺度收敛性，研究了对称跳跃扩散过程的均匀化问题。此外，我们还证明了该过程的弱收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).