Crandall, Michael G. Nonlinear semigroups and evolution governed by accretive operators. (English) Zbl 0637.47039 Nonlinear functional analysis and its applications, Proc. Summer Res. Inst., Berkeley/Calif. 1983, Proc. Symp. Pure Math. 45, Pt. 1, 305-337 (1986). The author outlines in a unified fashion both the main old and recent results related to the method of the semigroups of nonlinear operators for constructing mild solutions of evolution equations. The survey is a competent introduction for newcomers to the subject and a refined reading for specialists.For the entire collection see [Zbl 0583.00018]. Reviewer: D.Pascali Cited in 47 Documents MSC: 47H20 Semigroups of nonlinear operators 47H06 Nonlinear accretive operators, dissipative operators, etc. 47J05 Equations involving nonlinear operators (general) 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:semigroups of nonlinear operators; mild solutions of evolution equations Citations:Zbl 0583.00018 PDFBibTeX XMLCite \textit{M. G. Crandall}, Proc. Symp. Pure Math. 45, 305--337 (1986; Zbl 0637.47039)