4 papers · 1 filter
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…
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_…