5 citations · 10 across the 10 of their papers we have counts for
10 papers
Comparison principles and long time behavior for a diffusive Energy Balance Model with vertical resolution
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer one-dimensional energy balance model, which allows for vertical energy exchanges between a surface layer and the atmosphere, as well as meridional energy trans…
On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories
Alessandro Duca, Eugenio Pozzoli, Cristina Urbani
In this work we analyse the small-time reachability properties of a nonlinear parabolic equation, by means of a bilinear control, posed on a torus of arbitrary dimension . Under…
Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker-Planck equation
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
We study the exact controllability of the evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where is a nonnegative self-adjoint operator on a Hilbert…
Analysis of a two-layer energy balance model: long time behaviour and greenhouse effect
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the…
Predicting lexical skills from oral reading with acoustic measures
Charvi Vitthal, Shreeharsha B S, Kamini Sabu +1
Literacy assessment is an important activity for education administrators across the globe. Typically achieved in a school setting by testing a child's oral reading, it is intensiv…
Exact controllability to eigensolutions of the bilinear heat equation on compact networks
Piermarco Cannarsa, Alessandro Duca, Cristina Urbani
Partial differential equation on networks have been widely investigated in the last decades in view of their application to quantum mechanics (Schrödinger type equations) or to the…
Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
In a separable Hilbert space , we study the controlled evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0, \end{equation*} where () is a self-adjoin…
Superexponential stabilizability of degenerate parabolic equations via bilinear control
Piermarco Cannarsa, Cristina Urbani
The aim of this paper is to prove the superexponential stabilizability to the ground state solution of a degenerate parabolic equation of the form \begin{equation*} u_t(t,x)+(x^αu_…
Superexponential stabilizability of evolution equations of parabolic type via bilinear control
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
We prove rapid stabilizability to the ground state solution for a class of abstract parabolic equations of the form \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0,\qquad t\geq0 \end{equ…
Exact controllability to the ground state solution for evolution equations of parabolic type via bilinear control
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
In a separable Hilbert space , we study the linear evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0, \end{equation*} where is an accretive self-adjoint linear op…