Contributions to the Theory of Partial Differential Equations

by Bers, Lipman

• ISBN13: 9780691095844
• ISBN10: 0691095841
• Format: Paperback
• Copyright: 1954-12-31
• Publisher: Princeton Univ Pr

Table of Contents

Foreword	v
Green's Formula and Analytic Continuation	1	(14)
S. Bochner
Strongly Elliptic Systems of Differential Equations	15	(38)
F. E. Browder
Derivatives of Solutions of Linear Elliptic Partial Differential Equations	53	(10)
F. John
On Multivalued Solutions of Linear Partial Differential Equations	63	(6)
S. Bergman
Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type	69	(26)
L. Bers
On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations	95	(6)
L. Nirenberg
Second Order Elliptic Systems of Differential Equations	101	(60)
C. B. Morrey
Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings	161	(6)
C. Loewner
Parabolic Equations	167	(24)
P. D. Lax
A. N. Milgram
Linear Equations of Parabolic Type with Constant Coefficients	191	(10)
P. C. Rosenbloom
On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space	201	(10)
J. Leray
The Initial Value Problem for Non-Linear Hyperbolic Equations in Two Independent Variables	211	(20)
P. D. Lax
A Geometric Treatment of Linear Hyperbolic Equations of Second Order	231	(4)
A. Douglis
On Cauchy's Problem and Fundamental Solutions	235	(14)
J. B. Diaz
A Boundary Value Problem for the Wave Equation and Mean Value Theorems	249
M. H. Protter