Contributions to the Theory of Partial Differential Equations

by Lipman Bers, Salomon Trust, Fritz John

Overview

A classic treatment of partial differential equations from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

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Product Details

ISBN-13:	9780691095844
Publisher:	Princeton University Press
Publication date:	01/20/1955
Series:	Annals of Mathematics Studies , #33
Pages:	257
Product dimensions:	8.25(w) x 11.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• Foreword, pg. v
• Contents, pg. vii
• I. Green’s Formula and Analytic Continuation, pg. 1
• II. Strongly Elliptic Systems of Differential Equations, pg. 15
• III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations, pg. 53
• IV. On Multivalued Solutions of Linear Partial Differential Equations, pg. 63
• V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type, pg. 69
• VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations, pg. 95
• VII. Second Order Elliptic Systems of Differential Equations, pg. 101
• VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings, pg. 161
• IX. Parabolic Equations, pg. 167
• X. Linear Equations of Parabolic Type with Constant Coefficients, pg. 191
• XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space, pg. 201
• XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables, pg. 211
• XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order, pg. 231
• XIV. On Cauchy’s Problem and Fundamental Solutions, pg. 235
• XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems, pg. 249
• Backmatter, pg. 259