Propagation of Chaos for Weakly Interacting Mild Solutions to Stochastic Partial Differential Equations

David Criens

doi:10.1007/s10955-023-03121-7

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arXiv · 2107.13397

Propagation of Chaos for Weakly Interacting Mild Solutions to Stochastic Partial Differential Equations

David Criens

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Abstract

This article investigates the propagation of chaos property for weakly interacting mild solutions to semilinear stochastic partial differential equations whose coefficients might not satisfy Lipschitz conditions. Furthermore, we derive continuity and linear growth conditions for the existence and uniqueness of mild solutions to SPDEs with distribution dependent coefficients, so-called McKean-Vlasov SPDEs.

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David Criens. 2021-07-28. Propagation of Chaos for Weakly Interacting Mild Solutions to Stochastic Partial Differential Equations. https://doi.org/10.1007/s10955-023-03121-7

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