A generation theorem for the perturbation of strongly continuous semigroups by unbounded operators

Xuan-Quang Bui, Nguyen Duc Huy, Vu Trong Luong +1

In this paper we study the well-posedness of the evolution equation of the form $u^{\prime }(t)=Au(t)+Cu(t)$, $t\ge 0$, where $A$ is the generator of a $C_0$- semigroup and $C$ is a (possib…