## Illinois Journal of Mathematics

### Well-posedness of the martingale problem for superprocess with interaction

#### 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.

#### Article information

Source
Illinois J. Math., Volume 59, Number 2 (2015), 485-497.

Dates
Revised: 16 October 2015
First available in Project Euclid: 5 May 2016

https://projecteuclid.org/euclid.ijm/1462450710

Digital Object Identifier
doi:10.1215/ijm/1462450710

Mathematical Reviews number (MathSciNet)
MR3499521

Zentralblatt MATH identifier
1342.60062

Subjects
Secondary: 60J68: Superprocesses

#### Citation

Mytnik, Leonid; Xiong, Jie. Well-posedness of the martingale problem for superprocess with interaction. Illinois J. Math. 59 (2015), no. 2, 485--497. doi:10.1215/ijm/1462450710. https://projecteuclid.org/euclid.ijm/1462450710

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