Title: Linear Partial Differential Operators (Grundlehren der mathematischen Wissenschaften)
Publisher: Springer
Publication Date: 2012
Language: English
ISBN 10: 3642461778
ISBN 13: 9783642461774
Binding: Soft cover
Condition: New

About this title

Synopsis

The aim of this book is to give a systematic study of questions con� cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan� sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti� able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition self-contained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory.

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