Reaction–Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations

We establish the existence of solutions to a class of nonlinear stochastic differential equations of reaction–diffusion type in an infinite-dimensional space, with diffusion corresponding to a given transition kernel. The solution obtained is the scaling limit of a sequence of interacting particle systems and satisfies the martingale problem corresponding to the target differential equation.

Recommended citation: C. da Costa, B. Freitas Paulo da Costa, D. Valesin. "Reaction–Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations". Journal of Theoretical Probability, 36(2), 2023, 1059-1087.
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