Abstract
We consider the martingale problem for superprocess with interactive immigration mechanism. The uniqueness of the solution to this martingale problem is established using the strong uniqueness of the solution to a corresponding SPDE, which is obtained by an extended version of the Yamada–Watanabe argument.
Citation
Leonid Mytnik. Jie Xiong. "Well-posedness of the martingale problem for superprocess with interaction." Illinois J. Math. 59 (2) 485 - 497, Summer 2015. https://doi.org/10.1215/ijm/1462450710
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