Semigroups of Linear and Nonlinear Operations and Applications: Proceedings of the Curaçao Conference, August 1992 - Hardcover

Hardcover

ISBN 10: 0792325605 ISBN 13: 9780792325604

Publisher: Kluwer Academic Publishers, 1993

Synopsis

This is the first publication which follows an agreement by Kluwer Publishers with the Caribbean Mathematics Foundation (CMF), to publish the proceedings of its mathematical activities. To which one should add a disclaimer of sorts, namely that this volume is not the first in a series, because it is not first, and be­ cause neither party to the agreement construes these publications as elements of a series. Like the work of CMF, the arrangement between it and Kluwer Publishers, evolved gradually, empirically. CMF was created in 1988, and inaugurated with a conference on Ordered Algebraic Structures. Every year since there have been gatherings on a variety of mathematical topics: Locales and Topological Groups in 1989; Positive Operators in 1990; Finite Geometry and Abelian Groups in 1991; Semigroups of Operators last year. It should be stressed, however that in preparing for the first conference, there was no plan which might have augured what came after. One could say that one thing led to another, and one would be right enough.

About this title

Synopsis

This work provides a review of the state-of-the-art in semigroups of linear and nonlinear operations and applications. In addition to short introductory course notes in the linear and nonlinear theories, many of the leading researchers in the field contributed articles which are notable for their expository emphasis. Application areas include reaction-diffusion systems, other parabolic problems, scattering theory, fluid dynamics, continuum mechanics and mathematical biology. There is much emphasis on existence results, regularity properties, asymptotics, and problems that are not well-posed in the usual sense. The text is suitable for graduate students and researchers interested in the applications of operator theory and functional analysis to differential equations. Researchers in mathematical physics and mathematical biology and control theory should benefit from the expository account of recent developments in semigroup theory motivated by the applications.

Edition details

• Publisher: Kluwer Academic Publishers
• Publication date: 1993
• Language: English
• ISBN 10: 0792325605
• ISBN 13: 9780792325604
• Binding: Hardcover
• Number of pages: 287
• Editor: Ruiz Goldstein Gisèle, Goldstein Jerome