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 $X$, we study the linear evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0, \end{equation*} where $A$ is an accretive self-adjoint linear op…