Rainer Picard, Des McGhee

Partial Differential Equations 55 (eBook, PDF)

A unified Hilbert Space Approach

• Format: PDF

Produktbeschreibung

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. Thefocus on a Hilbert space setting is 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.This global point of view is takenby focussing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can naturally be developed. Applications to many areas of mathematical physics are presented. The book aims to be a largely self-contained. Full proofs to all but the most straightforward results are provided. It is therefore highly suitable as a resource for graduate courses and for researchers, who will find new results for particular evolutionary system from mathematical physics.

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Produktdetails

• Verlag: Walter de Gruyter
• Seitenzahl: 487
• Erscheinungstermin: 30. Juni 2011
• Englisch
• ISBN-13: 9783110250275
• Artikelnr.: 48598855

Autorenporträt

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