A Concise Guide to Semigroups and Evolution Equations

By: Aldo Belleni-Morante

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Hardcover | 1 December 1993

At a Glance

Hardcover
180 Pages

Dimensions(cm)
22.86 x 16.51 x 1.91

Hardcover

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This work aims to be a simple and concise introduction to the theory of semigroups and of evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory) and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces. Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendixes (so that the only prerequisites to read the book are classical differential and integral calculus).

Industry Reviews

"The present book is a nice, simple and concise introduction to the theory of one parameter semigroups of operators and their applications to evolution equations." A Rhandi Mathematics Abstracts "This book is written in a clear and readily accessible way and can be recommended as good introductory reading on semigroup theory, in particular for non-mathematicians." Alexei I Filinkov Mathematical Reviews

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