Co-Semigroups and Applications

Ioan I. (Al. I. Cuza University 700506 Iasi Vrabie

ISBN 10: 0444512888 / ISBN 13: 9780444512888

Published by Elsevier Science & Technology Mär 2003, 2003

About this Item

Neuware - Contains a unitary and systematic presentation of parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. This book includes several results referring to various classes of semigroups such as equicontinuous, compact, differentiable and analytic.

Seller Inventory # 9780444512888

Bibliographic Details

• Title: Co-Semigroups and Applications
• Publisher: Elsevier Science & Technology Mär 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 0444512888
• ISBN 13: 9780444512888
• Binding: Buch
• Condition: Neu
• Dimensions: 249W x 172H x 21D millimeters 249 millimeters width by 172 millimeters height by 21 millimeters depth
• Weight: 862 grams

About this title

Synopsis

The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because they are very new. So, the book, although containing the main parts of the classical theory of Co-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semigroups such as equicontinuous, compact, differentiable, or analytic, as well as to some nonstandard types of partial differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with distributed (time, spatial) measures. Moreover, some finite-dimensional-like methods for certain semilinear pseudo-parabolic, or hyperbolic equations are also disscussed. Among the most interesting applications covered are not only the standard ones concerning the Laplace equation subject to either Dirichlet, or Neumann boundary conditions, or the Wave, or Klein-Gordon equations, but also those referring to the Maxwell equations, the equations of Linear Thermoelasticity, the equations of Linear Viscoelasticity, to list only a few. Moreover, each chapter contains a set of various problems, all of them completely solved and explained in a special section at the end of the book.

The book is primarily addressed to graduate students and researchers in the field, but it would be of interest for both physicists and engineers. It should be emphasised that it is almost self-contained, requiring only a basic course in Functional Analysis and Partial Differential Equations.

Review

"The book is self-contained, requires only some acquaintance with functional analysis and partial differential equations."
Hana Petzeltova. Mathematica Bohemica, 2003.