Partial differential equations : a unified Hilbert space approach
- Rainer Picard, Des McGhee.
- Berlin ; New York : De Gruyter, c2011.
- Physical description
- xviii, 469 p. : ill. ; 25 cm.
- De Gruyter expositions in mathematics ; 55.
Science Library (Li and Ma)
|QA322.4 .P53 2011||Unknown|
- Includes bibliographical references (p. -464) and index.
- Publisher's Summary
- 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.
(source: Nielsen Book Data)9783110250275 20160606
- Publication date
- De Gruyter expositions in mathematics ; 55
- 9783110250268 (hbk. : acid-free paper)
- 3110250268 (hbk. : acid-free paper)
- 9783110250275 (ebk.)
- 3110250276 (ebk.)
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