From the 1 of 7 linked papers with an AI index.
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On McKean-Vlasov SDEs with polynomial drifts for SIS epidemic models
Alexander Kalinin, Thilo Meyer-Brandis, Annika Steibel
We present a tractable class of one-dimensional McKean-Vlasov equations that allow for unique strong solutions and extend the dynamics of various SIS epidemic models that are well-…
Regularity of Solutions of Mean-Field -SDEs
Karl-Wilhelm Georg Bollweg, Thilo Meyer-Brandis
We study regularity properties of the unique solution of a mean-field -SDE. More precisely, we consider a mean-field -SDE with square-integrable random initial condition and…
Stability, uniqueness and existence of solutions to McKean-Vlasov SDEs: a multidimensional Yamada-Watanabe approach
Alexander Kalinin, Thilo Meyer-Brandis, Frank Proske
We establish stability and pathwise uniqueness of solutions to Wiener noise driven McKean-Vlasov equations with random non-Lipschitz continuous coefficients. In the deterministic c…