This Wikibook is UNDER CONSTRUCTION! It will hopefully be completed in the not too distant future.

Some partial differential equations describe important processes in nature. This wikibook shows how to solve different kinds of partial differential equations and/or gives existence and uniqueness results, using a variety of methods.

Authors should be aware of the stylistic guidelines.

## Table of ContentsEdit

### Linear partial differential equationsEdit

- The transport equation
- Test functions
- Distributions
- Fundamental solutions, Green's functions and Green's kernels
- Poisson's equation
- The heat equation
- The Fourier transform
- The wave equation
- The Malgrange-Ehrenpreis theorem

### Nonlinear partial differential equationsEdit

- Characteristic equations
- Sobolev spaces
- Convex analysis
- Calculus of variations
- Bochner's Integral
- Monotone operators