Partial Differential Equations

This text is an introduction to the ideas, phenomena and methods of partial differential equations.

The material can be handled in one term. It requires no previous knowledge of differential equations, but does assume that the reader is familiar with advanced calculus, real analysis, the rudiments of complex analysis and the language of functional analysis.

Topics discussed in the text include elliptic, hyperbolic and parabolic equations, the energy method, maximum principle, and Fourier transformation.

The text features historical and scientific references.

Exercises, useful hints and discussion notes are incorporated into the course.