
Applied Nonlinear Semigroups
An Introduction
Wiley (Publisher)
Published on 23. October 1998
Book
Hardback
XII, 276 pages
978-0-471-97867-1 (ISBN)
Description
Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universität Frankfurt Germany Gary F. Roach University of Strathclyde UK Volume 3 Applied Nonlinear Semigroups A. Belleni-Morante University of Florence, Italy A. C. McBride University of Strathclyde, UK In many disciplines such as physics, chemistry, biology, meteorology, electronics and economics, it is increasingly necessary to develop mathematical models that describe how the state of a system evolves with time. A useful way of studying such a model is to recast the appropriate evolution equation as an Abstract Cauchy Problem (ACP), which can then be analysed via the powerful theory of semigroups of operators. The user-friendly presentation in the book is centred on Abstract Cauchy Problems which model various processes such as particle transport,diffusion and combustion, all of which are examples of systems which evolve with time. The authors provide an introduction to the requisite concepts from functional analysis before moving on to the theory of semigroups of linear operators and their application to linear ACPs. These ideas are then applied to semilinear problems and fully nonlinear problems and it is shown how results from the linear theory can be extended. Finally, a variety of applications of practical interest are included. By leading a non-expert to the solutions of problems involving evolution equations via the theory of semigroups of operators, both linear and nonlinear, the book provides an accessible introduction to the treatment of the subject. The reader is assumed to have a basic knowledge of real analysis and vector spaces. M.Sc. and graduate students of functional analysis, applied mathematics, physics and engineering will find this an invaluable introduction to the subject.
More details
Product info
gebunden
Series
Edition
1. Auflage
Language
English
Place of publication
New York
United States
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 20 mm
Weight
573 gr
ISBN-13
978-0-471-97867-1 (9780471978671)
Schweitzer Classification
Persons
A. Belleni-Morante, University of Florence, Italy.
A. C. McBride, University of Strathclyde Glasgow, Scotland
A. C. McBride, University of Strathclyde Glasgow, Scotland
Content
Spaces and Operators.
Linear Semigroups.
Semilinear Problems.
Dissipative Operators.
Nonlinear Semigroups.
Appendices.
References.
Indexes.