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math.AP2021
Dimensional Universality of Schauder Estimates Constants for Fourth Order Heat-Type Equations
Nicolò Cangiotti, Lorenzo Marino
A new method to compute Schauder Estimates for multidimensional fourth order heat-type equations is proposed. In particular, we show how knowing Schauder or Sobolev estimates for t…
math.AP2021★ 1 cited
Poisson process and sharp constants in Lp and Schauder estimates for a class of degenerate Kolmogorov operators
L. Marino, S. Menozzi, E. Priola
We consider a possibly degenerate Kolmogorov-Ornstein-Uhlenbeck operator of the form L = Tr(BD 2) + Az, D , where A, B are N x N matrices, z R N , N 1, which satisfy th…
math.AP2021★ 1 cited
Weak well-posedness for degenerate SDEs driven by Lévy processes
L. Marino, S. Menozzi
In this article, we study the effects of the propagation of a non-degenerate Lévy noise through a chain of deterministic differential equations whose coefficients are Hölder contin…