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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

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.