Skip to main content
SpringerLink
Log in

Partial Differential Equations

  • Textbook
  • © 1975

Overview

Authors:
  1. F. John

    1. Courant Institute, New York University, New York, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 1)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction

    • F. John
    Pages 1-5

  3. The Single First Order Equation

    • F. John
    Pages 6-47

  4. The Cauchy Problem for Higher Order Equations

    • F. John
    Pages 48-86

  5. Second Order Linear Equations with Constant Coefficients

    • F. John
    Pages 87-185

  6. The Cauchy Problem for Linear Hyperbolic Equations in General

    • F. John
    Pages 186-214

  7. Back Matter

    Pages 215-250
    Download chapter PDF
Back to top

Keywords

About this book

These Notes grew out of a course given by the author in 1952-53. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introd uction 1 CHAPrER I - THE SINGLE FIRST ORDER EQUATION 1. The linear and quasi-linear equations. 6 2. The general first order equation for a function of two variables. • • • • • • • • • 15 The general first order equation for a function 3. of n independent variables. • • • • • 37 CHAPrER II - THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables • 48 2. Formulation of the Cauchy problem. The notion of characteristics. • • • 54 3. The Cauchy problem for the general non-linear equation ••• 71 4. The Cauchy-Kowalewsky theorem. 76 CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables.

Authors and Affiliations

  • Courant Institute, New York University, New York, USA

    F. John

Bibliographic Information

  • Book Title: Partial Differential Equations

  • Authors: F. John

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4615-9979-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1975

  • eBook ISBN: 978-1-4615-9979-1Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 2

  • Topics: Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation