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 $X$, we study the controlled evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0, \end{equation*} where $A\ge -\sigma I$ ($\sigma \ge 0$) is a self-adjoin…