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  • © 1970

Partial Differential Equations of Elliptic Type

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

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  • ISBN: 978-3-642-87773-5
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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XII
  2. Functions represented by integrals

    • Carlo Miranda
    Pages 23-48
  3. Nonlinear equations

    • Carlo Miranda
    Pages 180-222
  4. Back Matter

    Pages 289-372

About this book

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
  • partial differential equations

Authors and Affiliations

  • Università di Napoli, Italy

    Carlo Miranda

Bibliographic Information

  • Book Title: Partial Differential Equations of Elliptic Type

  • Authors: Carlo Miranda

  • Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

  • DOI: https://doi.org/10.1007/978-3-642-87773-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin · Heidelberg 1970

  • Softcover ISBN: 978-3-642-87775-9

  • eBook ISBN: 978-3-642-87773-5

  • Edition Number: 1

  • Number of Pages: XII, 370

  • Additional Information: Originally published in Italian

  • Topics: Differential Equations

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • ISBN: 978-3-642-87773-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 129.00
Price excludes VAT (USA)