3 papers
math.OC2021
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…
math.OC2021
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…
math.OC2019
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_…