Frontiers of Mathematics in China >

2007 , Vol. 2 >Issue 4: 583 - 598

DOI: https://doi.org/10.1007/s11464-007-0035-0

(Quasi-)Regular Dirichlet forms for particle systems on Polish spaces

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  • School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;

Published date: 05 Dec 2007

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Abstract

Explicit suffcient and necessary conditions are presented for reaction-diffusion type Dirichlet forms on Polish spaces studied by Röckner and Wang [Potential Anal., 2006, 24: 223–243] to be (quasi-)regular. As preparations, the (quasi-)regularity of the sum of two or countably many Dirichlet forms is investigated.

Cite this article

LAN Guangqiang, WANG Fengyu . (Quasi-)Regular Dirichlet forms for particle systems on Polish spaces[J]. Frontiers of Mathematics in China, 2007 , 2(4) : 583 -598 . DOI: 10.1007/s11464-007-0035-0

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