Transformations, Transmutations, and Kernel Functions, Volume II

✍ Scribed by H Begehr

• Publisher: CRC Press/Chapman & Hall
• Year: 1993
• Tongue: English
• Leaves: 280
• Series: Monographs and Surveys in Pure and Applied Mathematics, 59
• Category: Library

✦ Synopsis

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Dedication
Table of Contents
VI. Systems of Elliptic Equations
1. Kernel Functions for Higher-Order Systems
2. Bianalytic Functions
3. Systems of First-Order Equations of Composite Type
4. Kernel Functions for a Complex First-Order equation
5. Systems of First-Order Equations with Analytic Coefficients
6. Numerical Treatment of Singular Integral Equations
7. Remarks and Further References
VII. Singularities of Solutions to Elliptic Equations
1. Introduction
2. The Envelope and Pinching Methods
3. The Bergman-Whittaker Operator: Singularities of Harmonic Functions
4. Singularities of Elliptic Equations in the Plane
5. Singular Partial Differential Equations
6. Solutions Having Distributinal Boundary Values
7. Remarks and Further References
VIII. Evolutionary Equations
1. One Space Dimension
2. Two Space Dimensions
3. Systems
4. Boundary Value Problems for Pseudoparabolic Systems
5. More than Three Space Variables
6. A Hyperbolic Differential Equation
7. Remarks and Further References
IX. Clifford Analysis
1. A concise Introduction to Clifford Analysis
2. Remarks and Further References
References and Further Reading
Index of Names
Index of Subjects