This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy´s example of a linear equation without solutions.Fourth Edition
F. John
Partial Differential Equations
"An excellent second-reading text. Should be accessible to any mathematician. Highly recommended."