L. Lorenzi

activity

20082022

most citedCarleman estimate for the Navier-Stokes equations and applications

6 citations · 22 across the 30 of their papers we have counts for

collaborators

Showing 2009 · math.APShow all

4 papers · 2 filters

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

A fully nonlinear equation for the flame front in a quasi-steady combustion model

C. -M. Brauner, J. Hulshof, L. Lorenzi +1

We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 1979 and consider a simplified, quasi-steady version of it. This simplification al…

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

A fully nonlinear equation for the flame front in a quasi-steady combustion model

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