product iamge

Linear Partial Differential Equations with Constant Coefficients

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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.

Author(s): Francois Trèves
Series: Mathematics and Its Applications
Publisher: Gordon and Breach
Year: 1966

Language: English
Pages: 544
Tags: Математика;Дифференциальные уравнения;Дифференциальные уравнения в частных производных;

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