Table of Contents

Introduction
First-order scalar quasilinear equations
First-order quasilinear systems
Introduction to second-order scalar equations
Hyperbolic equations
Elliptic equations
Parabolic equations
Free boundary problems
Non-quasilinear equations
Miscellaneous topics
Conclusion
References
Index

Reviews

Review from previous edition 'This is a clearly written guide to the theory and applications of partial differential equations....' MATH
' This book is thus greatly to be welcomed, as it sets out theory and methods for partial differential equations from the perspective of applied mathematicians who are concerned with the actual application of mathematics to model physics...The narrative style is chatty and informal with a strong personal stamp.A liberal lacing of emotive expressions encourages the discerning reader to empathise with the author's instincts by reading danger signals, recognising
red-letter days and seeing analyses as trivial, tedious, delicate or hair-raising.'Feel' and experience are invaluable tools when attacking new problems, and I applaud the authors' attempts to impart
some of theirs along with the technical content. Overall, a very worthwhile read, and I'll be glad to have a copy on my shelf' Journal of Fluid Mechanics
'For departments still offering serious PDE courses, Applied Partial Differential Equations provides a comprehensive and challenging text ... Able mathematics undergraduates ... should all find something they can take from the text ... There are numerous footnotes providing helpful physical explanations ... The end of each chapter is well furnished with interesting exercises' THES