Kernel Functions and Elliptic Differential Equations in Mathematical Physics
β Scribed by Stefan Bercman and M. Schiffer (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1953
- Leaves
- 442
- Series
- Pure and Applied Mathematics 4
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Pages vii-viii
Stefan Bergman, Menahem Schiffer
Note to the Reader
Page ix
Chapter 1 Theory of Heat Conduction
Pages 1-25
Chapter II Fluid Dynamics
Pages 25-154
Chapter III Electro- and Magnetostatics
Pages 155-206
Chapter IV Elasticity
Pages 206-257
Chapter I Properties of Solutions
Pages 258-275
Chapter II The Kernel Functions and Their Properties
Pages 275-334
Chapter III Variational and Comparison Theory
Pages 335-371
Chapter IV Existence Theory
Pages 371-381
Chapter V Dependence of Kernels on Boundary Conditioks and the Differential Equation
Pages 381-395
Chapter VI Generalizations
Pages 395-403
List of Symbols and Notations Used in Part B
Pages 404-407
Bibliography
Pages 408-419
Author Index
Pages 421-423
Subject Index
Pages 425-432
π SIMILAR VOLUMES
<p>Boundary value problems for elliptic differential-difference equations have some astonishing properties. For example, unlike elliptic differential equations, the smoothness of the generalized solutions can be broken in a bounded domain and is preserved only in some subdomains. The symbol of a sel
<span>This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accom