Linear Partial Differential Equations with Constant Coefficients

✍ Scribed by Francois Trèves

• Publisher: Gordon and Breach
• Year: 1966
• Tongue: English
• Leaves: 544
• Series: Mathematics and Its Applications
• Category: Library

✦ Synopsis

Covers existence and approximation theorems in functional analysis, L-squared inequalities, necessary and sufficient conditions for existence of solutions (variable coefficients), and L-squared estimates and pseudo-convexity. Includes further reading and bibliographic references.

✦ Table of Contents

Introduction
Chapter 0. Background
Chapter 1. Existence and Approximation Theorems for General Differential Operators
Chapter 2. General L2 Estimates
Chapter 3. Fundamental Solutions
Chapter 4. The Approximation Theorem
Chapter 5. Existence theorems for Differential Operators with Constant Coefficients
Chapter 6. Convexity with Respect to a Differential Polynomial
Chapter 7. Interior Regularity of Solutions
Chapter 8. Partial Hypoellipticity
Chapter 9. Existence and Approximation Theorems in Spaces of Analytic Functions
Appendix A. Semi-Algebraic Sets
Appendix B. On Uniqueness in the Cauchy Problem
Appendix C. Some Formulas of Non-Commutative Algebra
Index
Main Notations
Main Spaces of Functions and Distributions
Terms
Bibliography

✦ Subjects

Математика;Дифференциальные уравнения;Дифференциальные уравнения в частных производных;