Lumer, Günter Generalized evolution operators and (generalized) \(C\)-semigroups. (English) Zbl 0748.47037 Semigroup theory and evolution equations, Proc. 2nd Int. Conf., Delft/Neth. 1989, Lect. Notes Pure Appl. Math. 135, 337-345 (1991). [For the entire collection see Zbl 0741.00048.] The author investigates generalized solutions of the evolution equation \[ du/dt=Au+F(t),\quad u(0)=f,\quad F\in L^ 1_{\text{loc}}([0,\infty),B) \] in a Banach space \(B\) and corresponding (generally unbounded) evolution operators. Reviewer: M.Perelmuter (Kiev) Cited in 2 Documents MSC: 47D06 One-parameter semigroups and linear evolution equations Keywords:unbounded evolution operators; generalized solutions of the evolution equation PDF BibTeX XML Cite \textit{G. Lumer}, Lect. Notes Pure Appl. Math. 135, 337--345 (1991; Zbl 0748.47037)