Superprocesses over a Stochastic Flow with Spatially Dependent Branching
نویسنده
چکیده
This paper considers a generalized model of [G. Skoulakis and R. J. Adler, Ann. Appl. Probab., 11 (2001), pp.488-543]. We show the existence of superprocesses in a random medium (flow) with location dependent branching. Technically, we make use of a duality relation to establish the uniqueness of the martingale problem and to obtain the moment formulas which generalize those of [G. Skoulakis and R. J. Adler, Ann. Appl. Probab., 11 (2001), pp.488-543].
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