Partial differential equations : a unified Hilbert space approach /

Partial differential equations : a unified Hilbert space approach /

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Bibliographic Details
Author / Creator:	Picard, R. H. (Rainer H.)
Imprint:	Berlin ; New York : De Gruyter, ©2011.
Description:	1 online resource (xviii, 469 pages)
Language:	English
Series:	De Gruyter expositions in mathematics ; 55 De Gruyter expositions in mathematics ; 55.
Subject:	Hilbert space. Differential equations, Partial. Differential equations, Partial. Hilbert space. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11277429

Hidden Bibliographic Details
Other authors / contributors:	McGhee, D. F.
ISBN:	9783110250275 3110250276 9783110250268 3110250268 1283399938 9781283399937 9786613399939 6613399930
Notes:	Includes bibliographical references and index. In English. Print version record.
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 func.
Other form:	Print version: Picard, R.H. (Rainer H.). Partial differential equations. Berlin ; New York : De Gruyter, ©2011 9783110250268
Standard no.:	10.1515/9783110250275

Table of Contents:

Preface; Contents; Nomenclature; 1 Elements of Hilbert Space Theory; 2 Sobolev Lattices; 3 Linear Partial Differential Equations with Constant Coefficients; 4 Linear Evolution Equations; 5 Some Evolution Equations of Mathematical Physics; 6 A "Royal Road" to Initial Boundary Value Problems; Conclusion; Bibliography; Index.