Partial Differential Equations of Elliptic Type

  • Carlo Miranda

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 2)

Table of contents

About this book

Introduction

In the theory of partial differential equations, the study of elliptic equations occupies a preeminent position, both because of the importance which it assumes for various questions in mathematical physics, and because of the completeness of the results obtained up to the present time. In spite of this, even in the more classical treatises on analysis the theory of elliptic equations has been considered and illustrated only from particular points of view, while the only expositions of the whole theory, the extremely valuable ones by LICHTENSTEIN and AscoLI, have the charac­ ter of encyclopedia articles and date back to many years ago. Consequently it seemed to me that it would be of some interest to try to give an up-to-date picture of the present state of research in this area in a monograph which, without attaining the dimensions of a treatise, would nevertheless be sufficiently extensive to allow the expo­ sition, in some cases in summary form, of the various techniques used in the study of these equations.

Keywords

Area Boundary value problem Elliptische Differentialgleichung Mathematica boundary element method differential equation differential operator equation form functional equation mathematical physics partial differential equation techniques time

Authors and affiliations

  • Carlo Miranda
    • 1
  1. 1.Università di NapoliItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-87773-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1970
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-87775-9
  • Online ISBN 978-3-642-87773-5
  • Series Print ISSN 0071-1136
  • About this book