Format:
1 Online-Ressource (XVIII, 469 S.).
ISBN:
1-283-39993-8
,
978-1-283-39993-7
,
978-3-11-025026-8
,
978-3-11-025027-5
Series Statement:
de Gruyter expositions in mathematics 55
Note:
Biographical note: Rainer Picard, Dresden University of Technology, Germany; Des McGhee, University of Strathclyde, Glasgow, Scottland, UK.. - Main description: 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
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-11-025026-8
Language:
English
Subjects:
Mathematics
Keywords:
Partielle Differentialgleichung
;
Lösung
;
Hilbert-Raum
DOI:
10.1515/9783110250275
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
Author information:
McGhee, Des F.
Author information:
Picard, Rainer 1946-
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