Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This revised edition of Applied Partial Differential Equations contains many new sections and exercises including transform methods, free surface flows, linear elasticity and complex characteristics.

Introduction

1. First-Order Scalar Quasilinear Equations
2. First-Order Quasilinear Systems
3. Introduction to Second-Order Scalar Equations
4. Hyperbolic Equations
5. Elliptic Equations
6. Parabolic Equations
7. Free Boundary Problems
8. Non-Quasilinear Equations
9. Miscellaneous Topics

Conclusion
References
Index

Revised Edition
John Ockendon and Sam Howison – both of Oxford University

Andrew Lacey – Heriot-Watt University

Alexander Movchan – Liverpool University

Review from previous edition
'This is a clearly written guide to the theory and applications of partial differential equations… '