A NOTE ON PERTURBATION OF NON-SYMMETRIC DIRICHLET FORMS BY SIGNED SMOOTH MEASURES  

作　　者：陈传钟 

机构地区：[1]Hainan Normal University

出　　处：《Acta Mathematica Scientia》2007年第1期219-224,共6页数学物理学报（B辑英文版）

基　　金：This research is supported by the NSFC and;NSF of Hainan Province (Nos. 80529 and 10001)

摘　　要：This article discusses the perturbation of a non-symmetric Dirichlet form, （ε, D（ε））, by a signed smooth measure u, where u=u1 -u2 with u1 and u2 being smooth measures. It gives a sufficient condition for the perturbed form （ε^u ,D（ε^u）） （for some a0 ≥ 0） to be a coercive closed form.This article discusses the perturbation of a non-symmetric Dirichlet form, （ε, D（ε））, by a signed smooth measure u, where u=u1 -u2 with u1 and u2 being smooth measures. It gives a sufficient condition for the perturbed form （ε^u ,D（ε^u）） （for some a0 ≥ 0） to be a coercive closed form.

关 键 词：Non-symmetric Dirichlet form signed smooth measure perturbation of Dirichlet form generalized Feynman-Kac semigroup 

分 类 号：O186[理学—数学]