Partial Differential Equations III
Nonlinear Equations
2nd Edition
Published on 10. November 2010
Book
Hardback
XXII, 715 pages
978-1-4419-7048-0 (ISBN)
Description
The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis
Reviews / Votes
From the reviews:"These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted."(SIAM Review, June 1998)From the reviews of the second edition:"This substantial three-volume work is an upgraded version of the comprehensive qualitative analysis of partial differential equations presented in the earlier edition. . Graduate students . will find these three volumes to be not just a fine and rigorous treatment of the subject, but also a source of inspiration to apply their knowledge and ability to the solution of other challenging problems in the field of partial differential equations. . an excellent text for all devotees of the charming and thought-provoking byways of higher mathematics." (Christian Constanda, The Mathematical Association of America, July, 2011)More details
Series
Edition
2011
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
XXII, 715 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
2660 gr
ISBN-13
978-1-4419-7048-0 (9781441970480)
DOI
10.1007/978-1-4419-7049-7
Schweitzer Classification
Other editions
New editions
Book
12/2023
3rd Edition
Springer
€85.59
Shipment within 15-20 days
Additional editions
Book
12/2012
2nd Edition
Springer
€213.99
Shipment within 15-20 days
E-Book
11/2010
2nd Edition
Springer
€213.99
Available for download
Previous edition
Book
06/1996
Springer
€85.59
Article exhausted; check for reprint
Person
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.