Overview
- Modern and systematic treatment of main approaches
- Several additions have been made to the 2nd edition, including a new chapter on Reacition-diffusion equations
- Emphasis on methods relevant for both linear and nonlinear equations
- Contains chapter summaries, detailed illustrations and numerous exercises
Part of the book series: Graduate Texts in Mathematics (GTM, volume 214)
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Table of contents (13 chapters)
Keywords
About this book
Reviews
From the reviews of the second edition:
"Because of the nice global presentation, I recommend this book to students and young researchers who need the now classical properties of these second-order partial differential equations. Teachers will also find in this textbook the basis of an introductory course on second-order partial differential equations."
- Alain Brillard, Mathematical Reviews
"Beautifully written and superbly well-organised, I strongly recommend this book to anyone seeking a stylish, balanced, up-to-date survey of this central area of mathematics."
- Nick Lord, The Mathematical Gazette
“It is an expanded translation by the author of the German original. … The range of methods is wide, covering integral kernels, maximum principles, variational principles, gradient descents, weak derivatives and Sobolev spaces. … the proof are clear and pleasant, provided the reader has a good command in integration theory. … This book is an interesting introduction to the multiple facets of partial differential equations –– especially to regularity theory –– for the reader who has already a good background in analysis.” (Jean Van Schaftingen, Bulletin of the Belgian Mathematical Society, 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Partial Differential Equations
Authors: Jürgen Jost
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-49319-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2007
Softcover ISBN: 978-1-4419-2380-6Published: 25 November 2010
eBook ISBN: 978-0-387-49319-0Published: 30 April 2010
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 2
Number of Pages: XIV, 356
Number of Illustrations: 10 b/w illustrations
Topics: Analysis, Theoretical, Mathematical and Computational Physics, Partial Differential Equations, Numerical and Computational Physics, Simulation