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Item Details
Title: PARTIAL DIFFERENTIAL EQUATIONS
A UNIFIED HILBERT SPACE APPROACH
By: Rainer Picard, Des McGhee
Format: Hardback

List price: £157.50


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 3110250268
ISBN 13: 9783110250268
Publisher: DE GRUYTER
Pub. date: 16 June, 2011
Series: De Gruyter Expositions in Mathematics 55
Pages: 469
Description: 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. This book is suitable as a resource for graduate courses and for researchers.
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.
US Grade: College Graduate Student
Publication: Germany
Imprint: Walter de Gruyter & Co
Returns: Non-returnable
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