The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces,
Partial Differential Equations (Applied Mathematical Sciences, 1)
β Scribed by Fritz John
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Leaves
- 262
- Series
- Applied Mathematical Sciences
- Edition
- 4
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewyβs example of a linear equation without solutions.
β¦ Table of Contents
Title Page
Β© Page
Preface to the fourth edition
Contents
1 The Single First-Order Equation
2 Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variables
3 Characteristic Manifolds and the Cauchy Problem
4 The Laplace Equation
5 Hyperbolic Equations in Higher Dimensions
6 Higher-Order Elliptic Equationswith Constant Coefficients
7 Parabolic Equations
8 H. Leweyβs Example of a Linear Equation without Solutions
Bibliography
Glossary
Index
Back Cover
PΓ‘gina en blanco
π SIMILAR VOLUMES
This revised and expanded comprehensive second edition discusses mathematical models that give rise to PDEs, classifies the equations and problems into different types, and examines exact and approximate methods for solution of these problems. The book addresses problems that involve both linear and
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