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We establish the existence of solutions to a class of non-linear stochasticdifferential equation of reaction-diffusion type in an infinite-dimensionalspace, with diffusion corresponding to a given transition kernel. The solutionobtained is the scaling limit of a sequence of interacting particle systems,and satisfies the martingale problem corresponding to the target differentialequation.

Reaction-diffusion models for a class of infinite-dimensional non-linear stochastic differential equations