This is book is currently under a complete redesign to focus the material toward the pure mathematical development of the field of partial differential equations. The book previously called partial differential equations has been moved to Advanced Mathematics for Engineers and Scientists.

## Table of ContentsEdit

Introduction and first examples

Fundamental Solutions, Green's functions, Green's kernels and Dirichlet Problems

Wave equation

Elliptic variational problems

Theorem of Malgrange-Ehrenpreis

## AppendixEdit

Lemma 2.1: Banach-Steinhaus theorem for locally convex sets