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math.CA2018★ 24 cited
Well-Posedness for Some Non-Linear Diffusion Processes and Related PDE on the Wasserstein Space
Paul-Eric Chaudru de Raynal, Noufel Frikha
In this paper, we investigate the well-posedness of the martingale problem associated to non-linear stochastic differential equations (SDEs) in the sense of McKean-Vlasov under mil…
math.AP2018
Sharp Schauder Estimates for some Degenerate Kolmogorov Equations
Paul-Eric Chaudru de Raynal, Igor Honoré, Stéphane Menozzi
We provide here some sharp Schauder estimates for degenerate PDEs of Kolmogorov type when the coefficients lie in some suitable anisotropic H{ö}lder spaces and the first order term…