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Partial Differential Equations

An Introduction

  • Textbook
  • © 1960

Overview

Authors:
  1. Günter Hellwig

    1. Technische Hochschule Aachen, Germany

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Part of the book series: Mathematische Leitfäden (MLF)

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Table of contents (19 chapters)

  1. Front Matter

    Pages N2-xi
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  2. Examples

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Günter Hellwig
      Pages 3-10

    3. The Wave Equation

      • Günter Hellwig
      Pages 11-27

    4. The Potential Equation

      • Günter Hellwig
      Pages 28-42

    5. The Heat Equation

      • Günter Hellwig
      Pages 43-56

  3. Classification into Types, Theory of Characteristics, and Normal Form

    1. Front Matter

      Pages 57-57
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    2. Differential Equations of the Second Order

      • Günter Hellwig
      Pages 59-68

    3. Systems of Differential Equations of the First Order

      • Günter Hellwig
      Pages 69-80

    4. On the Necessity of Classification Into Types

      • Günter Hellwig
      Pages 81-86

  4. Questions of Uniqueness

    1. Front Matter

      Pages 87-87
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    2. Elliptic and Elliptic-Parabolic Type

      • Günter Hellwig
      Pages 89-98

    3. Parabolic Type

      • Günter Hellwig
      Pages 99-101

    4. Hyperbolic Type

      • Günter Hellwig
      Pages 102-114

    5. Mixed Type

      • Günter Hellwig
      Pages 115-121

  5. Questions of Existence

    1. Front Matter

      Pages 123-123
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    2. Equations of Hyperbolic Type in Two Independent Variables

      • Günter Hellwig
      Pages 125-150

    3. Boundary and Initial-Value Problems for Equations of Hyperbolic and Parabolic Type in Two Independent Variables

      • Günter Hellwig
      Pages 151-171

    4. Equations of Elliptic Type

      • Günter Hellwig
      Pages 172-194

    5. Weyl’s Lemma for Equations of Elliptic Type

      • Günter Hellwig
      Pages 195-205
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Keywords

Authors and Affiliations

  • Technische Hochschule Aachen, Germany

    Günter Hellwig

Bibliographic Information

  • Book Title: Partial Differential Equations

  • Book Subtitle: An Introduction

  • Authors: Günter Hellwig

  • Series Title: Mathematische Leitfäden

  • DOI: https://doi.org/10.1007/978-3-663-11002-6

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1960

  • Softcover ISBN: 978-3-519-12213-5Published: 01 January 1977

  • eBook ISBN: 978-3-663-11002-6Published: 02 July 2013

  • Series ISSN: 1615-388X

  • Edition Number: 2

  • Number of Pages: XI, 259

  • Topics: Engineering, general

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