2 citations · 4 across the 4 of their papers we have counts for
4 papers
Optimal Holder regularity for nonautonomous Kolmogorov equations
L. Lorenzi
We consider a class of nonautonomous elliptic operators with unbounded coefficients defined in and we prove optimal Schauder estimates for the solu…
Asymptotic behavior in time periodic parabolic problems with unbounded coefficients
L. Lorenzi, A. Lunardi, A. Zamboni
We study asymptotic behavior in a class of non-autonomous second order parabolic equations with time periodic unbounded coefficients in . Our results g…
Rigorous derivation of the Kuramoto-Sivashinsky equation in a 2D weakly nonlinear Stefan problem
Claude-Michel Brauner, Josephus Hulshof, Luca Lorenzi
In this paper we are interested in a rigorous derivation of the Kuramoto-Sivashinsky equation (K--S) in a Free Boundary Problem. As a paradigm, we consider a two-dimensional Stefan…
--regularity for parabolic operators with unbounded time--dependent coefficients
Matthias Geissert, Luca Lorenzi, Roland Schnaubelt
We establish the maximal regularity for nonautonomous Ornstein-Uhlenbeck operators in -spaces with respect to a family of invariant measures, where . This re…