Absolute continuities of exit measures for superdiffusions  

作　　者：任艳霞 

机构地区：[1]Center for Advanced Study, Tsinghua University, Beijing 100084, China Suppose X= | Xt ,Xr, Pμ| is a superdiffusion in Rd with general branching mechanism ψand general branching rate f unction A. We discuss conditions on A to guarantee that the exit measures Xt of the superdiffusion X from bounded smooth domains in Rd have absolutely continuous states.

出　　处：《Science China Mathematics》2000年第5期449-457,共9页中国科学：数学（英文版）

摘　　要：Suppose X= Xt, XT, Pμis a superdiffusion in ?d with general branching mechanism ψ and general branching rate functionA. We discuss conditions onA to guarantee that the exit measure XTL of the superdiffusionX from bounded smooth domains in ?d have absolutely continuous states.Suppose X= | Xt ,Xr, Pμ| is a superdiffusion in Rd with general branching mechanism ψ and general branching rate f unction A. We discuss conditions on A to guarantee that the exit measures Xt of the superdiffusion X from bounded smooth domains in Rd have absolutely continuous states.

关 键 词：EXIT MEASURE SUPERDIFFUSION absolutely CONTINUOUS state. 

分 类 号：O175[理学—数学]