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Absolute continuities of exit measures for superdiffusions 被引量:2

Absolute continuities of exit measures for superdiffusions
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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.
作者 任艳霞
出处 《Science China Mathematics》 SCIE 2000年第5期449-457,共9页 中国科学:数学(英文版)
关键词 EXIT MEASURE SUPERDIFFUSION absolutely CONTINUOUS state. exit measure superdiffusion absolutely continuous state
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参考文献5

  • 1Yanxia Ren,Yongjin Wang.Absolutely continuous states of exit measures for super-Brownian motions with branching restricted to a hyperplane[J].Science in China Series A: Mathematics.1998(6)
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同被引文献6

  • 1Yanxia Ren,Yongjin Wang.Absolutely continuous states of exit measures for super-Brownian motions with branching restricted to a hyperplane[J].Science in China Series A: Mathematics.1998(6)
  • 2Port S C,Stone C J.Brownian Motion And Classical Potential Theory[]..1978
  • 3Sheu Y C.On states of exit measures for superdiffusions[].The Annals of Probability.1996
  • 4Sheu,Y.C.Removable boundary singularities for solutions of some nonlinear differential equations[].Duke Mathematical Journal.1994
  • 5Dynkin E. B.Superdiffusions and parabolic nonlinear differential equations[].Ann Prob.1992
  • 6任艳霞,王永进.Absolutely continuous states of exit measures for super-Brownian motions with branching restricted to a hyperplane[J].Science China Mathematics,1998,41(6):582-594. 被引量:2

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