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Book 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. 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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Partial Differential Equations
• Subtitle: A unified Hilbert Space Approach
• Author: Rainer Picard, Des McGhee
• Language: English
• Binding: Hardback
• Number of pages: 487
• EAN: 9783110250268
• ISBN: 3110250268
• ID: 01446071
• Publisher: De Gruyter
• Weight: 951 g
• Dimensions: 240 × 170 × 33 mm
• Date of publishing: 16. June 2011

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