Bers / Bochner / John Contributions to the Theory of Partial Differential Equations

1. Auflage 2016
ISBN: 978-1-4008-8218-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 33, 257 Seiten

Reihe: Annals of Mathematics Studies

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.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Autoren/Hrsg.

Bers, Lipman

Bochner, Salomon

John, Fritz

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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