Treatise on Analysis, Volume 10–VIII provides information pertinent to the study of the most common boundary problems for partial differential equations. This book presents the study of Cauchy's problem in its most elementary form.

Comprised of one chapter, this volume begins with an overview of Hilbert-von Neumann spectral theory and explores all possible boundary conditions related to spectral theory. This text then examines the link of Cauchy's problem with the behavior of the equation's characteristics. This book discusses as well the case of linear elliptic operators. The reader is also introduced to Sobolev spaces and some of their generalizations that provide an essential tool in the study of these elliptic problems, and their manipulation requires delicate upper bounds to obtain the best possible results.

This book is a valuable resource for mathematicians.

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Yes, you can access Treatise on Analysis by J. Dieudonné, H. Bass,A. Borel,J. Moser in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Academic Press

Year

2016

ISBN

9781483266831

Topic

Mathematics

Subtopic

Differential Equations

Index

Mathematics

Front Cover
Treatise on Analysis
Copyright Page
Table of Contents
Dedication
Notation
CHAPTER XXIII. LINEAR FUNCTIONAL EQUATIONS
REFERENCES
INDEX
PURE AND APPLIED MATHEMATICS