PARTIAL DIFFERENTIAL EQUATIONS
An Introduction

Contents:

1. Where PDEs come from

2. Waves and diffusions

3. Reflections and Sources

4. Boundary problems

5. Fourier series

6. Harmonic functions

7. Green’s identities and Green’s functions

8. Computation of solutions

9. Waves in space

10. Boundaries in the plane and in space

11. General eigenvalue problems

12. Distributions and transforms

13. PDE Problems from Physics

14. Nonlinear PDE’s

Appendix

Answers and Hints to selected exercises