Propagation of chaos for stochastic particle systems with singular mean-field interaction of $L^{q}-L^{p}$ type
In this work, we prove the well-posedness and propagation of chaos for a stochastic particle system in mean-field interaction under the assumption that the interacting kernel belongs to a suitable $L_{t}^{q}-L_{x}^{p}$ space. Contrary to the large deviation principle approach recently proposed in the litterature (Hoeksama et al, 2020), the main ingredient of the proof here are the Partial Girsanov transformations introduced by (Jabir-Talay-Tomašević.,2018) and developed in a general setting here.