Partial Differential Equations: A Unified Hilbert Space Approach - Couverture rigide

Picard, Rainer; McGhee, Des

Couverture rigide

ISBN 10 : 3110250268 ISBN 13 : 9783110250268

Editeur : De Gruyter, 2011

Synopsis

This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces.

The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations.

In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented.

The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.

A propos du livre

À propos de l'auteur

Rainer Picard, Dresden University of Technology, Germany; Des McGhee, University of Strathclyde, Glasgow, Scotland, UK.

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 3110250268
• ISBN 13: 9783110250268
• Reliure: Relié
• Nombre de pages: 487
• Coordonnées du fabricant: Walter de Gruyter GmbH; productsafety@degruyterbrill.com; ; Genthiner Straße 13; Berlin; 10785; Allemagne