Applied Nonlinear Semigroups : An Introduction

A. Belleni-Morante

ISBN 10: 0471978671 / ISBN 13: 9780471978671

Published by Wiley Dez 1998, 1998

About this Item

Neuware - Die erste gut verständliche, in sich geschlossene Einführung in Theorie und Anwendungen von Halbgruppen linearer und nichtlinearer Operatoren! Ein einführendes Kapitel erläutert die Grundlagen aus Funktionalanalysis und Theorie der Halbgruppen linearer und semilinearer Operatoren. An speziellere Kapitel schließen sich Anwendungsbeispiele aus der Praxis an. Übungsaufgaben helfen bei der Festigung des Stoffes.

Seller Inventory # 9780471978671

Bibliographic Details

• Title: Applied Nonlinear Semigroups : An Introduction
• Publisher: Wiley Dez 1998
• Publication Date: 1998
• Language: English
• ISBN 10: 0471978671
• ISBN 13: 9780471978671
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 20D millimeters 235 millimeters width by 157 millimeters height by 20 millimeters depth
• Weight: 573 grams

About this title

Synopsis

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.

About the Author

A. Belleni-Morante, University of Florence, Italy.

 

A. C. McBride, University of Strathclyde Glasgow, Scotland