**Translations of Mathematical Monographs**

1992;
230 pp;
Hardcover

MSC: Primary 47;
Secondary 35; 81

**Print ISBN: 978-0-8218-4565-3
Product Code: MMONO/109**

List Price: $103.00

Individual Member Price: $82.40

# Nonlinear Semigroups

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*Isao Miyadera*

This book presents a systematic exposition of the
general theory of nonlinear contraction semigroups in Banach spaces and
is aimed at students and researchers in science and engineering as
well as in mathematics. Suitable for use as a textbook in graduate
courses and seminars, this self-contained book is accessible to those
with only a basic knowledge of functional analysis. After
prerequisites presented in the first chapter, Miyadera covers the basic
properties of dissipative operators and nonlinear contraction semigroups
in Banach spaces. The generation of nonlinear contraction semigroups,
the Komura theorem, and the Crandall-Liggett theorem are explored,
and there is a treatment of the convergence of difference
approximations of Cauchy problems for \(\omega\)-dissipative
operators and the Kobayashi generation theorem of nonlinear
semigroups.

#### Table of Contents

# Table of Contents

## Nonlinear Semigroups

#### Readership

Graduate students, researchers, and professionals in science and engineering with a background in functional analysis and real analysis.

#### Reviews

the author, a leading researcher in the field, presents a quite elegant and systematic treatment of the theory of nonlinear semigroups in general Banach spaces with applications to nonlinear evolution equations … I would like to express my regret that it took so many years for the English version of this useful book to appear.

-- Mathematical Reviews

A good source of information for all those interested in the theory of nonlinear semigroups.

-- Zentralblatt MATH