On the well-posedness of linear evolution equations under unbounded nonautonomous perturbations

Xuan-Quang Bui, Vu Trong Luong, Nguyen Van Minh

We study conditions for the well-posedness of nonautonomous perturbation of evolution equations of the form \[ u'(t)=(A+B(t))u(t), \quad t \in [a,b], \] where $A$ generates a $\mat…