Tanaka Formula and Local Time for a Class of Interacting Branching Measure-valued Diffusions  

作　　者：Donald A.DAWSON Jean VAILLANCOURT Hao WANG 

机构地区：[1]School of Mathematics and Statistics,Carleton University,Ottawa,Canada [2]Department of Decision Sciences,HEC,Montreal,Canada [3]Department of Mathematics,University of Oregon,Eugene,USA

出　　处：《Acta Mathematica Sinica,English Series》2024年第4期1059-1098,共40页数学学报（英文版）

基　　金：Partial funding in support of this work was provided by the Natural Sciences and Engineering Research Council of Canada(NSERC);the Department of Mathematics at the University of Oregon。

摘　　要：We construct superprocesses with dependent spatial motion(SDSMs)in Euclidean spaces R^(d)with d≥1 and show that,even when they start at some unbounded initial positive Radon measure such as Lebesgue measure on R^(d),their local times exist when d≤3.A Tanaka formula of the local time is also derived.

关 键 词：Measure-valued diffusions stochastic partial differential equations SUPERPROCESSES branching processes local time Tanaka formula 

分 类 号：O174.12[理学—数学]