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Grundlehren der mathematischen Wissenschaften

Linear Partial Differential Operators

Authors: Hörmander, Lars

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-642-46175-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-642-46177-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Partial Differential Operators
Authors
Series Title
Grundlehren der mathematischen Wissenschaften
Series Volume
116
Copyright
1963
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag OHG, Berlin · Göttingen · Heidelberg
eBook ISBN
978-3-642-46175-0
DOI
10.1007/978-3-642-46175-0
Softcover ISBN
978-3-642-46177-4
Series ISSN
0072-7830
Edition Number
1
Number of Pages
VIII, 288
Topics

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