We show that a martingale problem associated with a competing species model has a unique solution. The proof of uniqueness of the solution for the martingale problem is based on duality technique. It requires the construction of dual probability measures.

Keywords:

stochastic partial differential equation, Martingale problem, duality stochastic partial differential equation, Martingale problem, duality

MSC Classifications:

60H15, 35R60 show english descriptions Stochastic partial differential equations [See also 35R60]
Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] 60H15 - Stochastic partial differential equations [See also 35R60]
35R60 - Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]

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