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- W3100234094 abstract "We study a nonlinear stochastic partial differential equation whose solution is the conditional log-Laplace functional of a superprocess in a random environment. We establish its existence and uniqueness by smoothing out the nonlinear term and making use of the particle system representation developed by Kurtz and Xiong [Stochastic Process. Appl. 83 (1999) 103-126]. We also derive the Wong-Zakai type approximation for this equation. As an application, we give a direct proof of the moment formulas of Skoulakis and Adler [Ann. Appl. Probab. 11 (2001) 488-543]." @default.
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- W3100234094 date "2004-07-01" @default.
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- W3100234094 title "A stochastic log-Laplace equation" @default.
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- W3100234094 doi "https://doi.org/10.1214/009117904000000540" @default.
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