Strong solution for singularly nonautonomous evolution equation with almost sectorial operators
Strong solution for singularly nonautonomous evolution equation with almost sectorial operators
In this paper we consider the singularly nonautonomous evolution problem $ u_t +A(t) u = f(t), \mbox{ } \tau<t<\tau+T; \quad u(\tau) = u_0 \in X, $ associated with a family of uniformly almost sectorial linear operators $ A(t):D\subset X \rightarrow X $, that is, a family for which a sector …