Luca Lorenzi

most citedAsymptotic behavior in time periodic parabolic problems with unbounded coefficients

2 citations · 4 across the 4 of their papers we have counts for

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math.AP2009★ 2 cited

Optimal Holder regularity for nonautonomous Kolmogorov equations

L. Lorenzi

We consider a class of nonautonomous elliptic operators $A$ with unbounded coefficients defined in $[0, T] \times R^{N}$ and we prove optimal Schauder estimates for the solu…

math.AP2009★ 2 cited

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 $R \times R^{d}$ . Our results g…

math.AP2009

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…

math.AP2009

$L^{p}$ --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 $L^{p}$ -spaces with respect to a family of invariant measures, where $p \in (1, + \infty)$ . This re…

Optimal Holder regularity for nonautonomous Kolmogorov equations

Asymptotic behavior in time periodic parabolic problems with unbounded coefficients

Rigorous derivation of the Kuramoto-Sivashinsky equation in a 2D weakly nonlinear Stefan problem

Lp--regularity for parabolic operators with unbounded time--dependent coefficients

$L^{p}$ --regularity for parabolic operators with unbounded time--dependent coefficients