Concise Guide To Semigroups And Evolution Equations, A: 19 (Series on Advances in Mathematics for Applied Sciences) - Hardcover

Belleni-morante, Aldo

 
9789810212940: Concise Guide To Semigroups And Evolution Equations, A: 19 (Series on Advances in Mathematics for Applied Sciences)

Inhaltsangabe

This book is a simple and concise introduction to the theory of semigroups and 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 Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).

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Críticas

"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

Reseña del editor

This book is a simple and concise introduction to the theory of semigroups and 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 Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).

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