## Zentralblatt MATH Review (1999) 913 -193

by Marco Biroli (Monza), E-mail:marbir@mate.polimi.it
The first two chapters of the book deal with linear operators
in Banach and Hilbert spaces, chapter 3 deals with Sobolev spaces.
Chapters 4,5 and 6 give a clean introduction to the semigroups of
linear operators and their applications to partial differential
equations. The weakly nonlinear and the semilinear parabolic cases
are also studied, and applications are given. The book is very
readily written and we can recommend it for a graduate course
in semigroup theory.

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