6 citations · 22 across the 30 of their papers we have counts for
7 papers · 2 filters
Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation
Claude-Michel Brauner, Lina Hu, Luca Lorenzi
We consider a free interface problem which stems from a solid-gas model in combustion with pattern formation. We derive a third-order, fully nonlinear, self-consistent equation for…
Two-dimensional stability analysis in a HIV model with quadratic logistic growth term
Claude-Michel Brauner, Xinyue Fan, Luca Lorenzi
We consider a Human Immunodeficiency Virus (HIV) model with a logistic growth term and continue the analysis of the previous article [6]. We now take the viral diffusion in a two-d…
Nonautonomous Kolmogorov equations in the whole space: a survey on recent results
Luca Lorenzi
In this paper we survey some recent results concerned with nonautonomous Kolmogorov elliptic operators. Particular attention is paid to the case of the nonautonomous Ornstein-Uhlen…
A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain of
Alfredo Lorenzi, Luca Lorenzi
In this paper we deal with a strongly ill-posed second-order degenerate parabolic problem in the unbounded open set , related to a line…
On improvement of summability properties in nonautonomous Kolmogorov equations
Luciana Angiuli, Luca Lorenzi
Under suitable conditions, we obtain some characterization of supercontractivity, ultraboundedness and ultracontractivity of the evolution operator associated to a class o…
Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations
L. Angiuli, L. Lorenzi, A. Lunardi
We consider a class of nonautonomous second order parabolic equations with unbounded coefficients defined in , where is a right-halfline. We prove logarithmic Sobo…
On Schroedinger type operators with unbounded coefficients: Generation and heat kernel estimates
Luca Lorenzi, Abdelaziz Rhandi
We consider the Schrödinger type operator , for and . We prove that, for any , the minimal realization of opera…