Partial Differential Equations II
Qualitative Studies of Linear Equations
2nd Edition
Published on 27. December 2012
Book
Paperback/Softback
XXII, 614 pages
978-1-4614-2742-1 (ISBN)
Description
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
Reviews / Votes
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, June, 2011)
More details
Product info
Previously published in hardcover
Series
Edition
Softcover reprint of hardcover 2nd ed. 2011
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
XXII, 614 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 34 mm
Weight
949 gr
ISBN-13
978-1-4614-2742-1 (9781461427421)
DOI
10.1007/978-1-4419-7052-7
Schweitzer Classification
Other editions
New editions
Book
12/2023
3rd Edition
Springer
€85.59
Shipment within 15-20 days
Additional editions
Book
11/2010
2nd Edition
Springer
€192.59
Article exhausted; check for reprint
E-Book
11/2010
2nd Edition
Springer
€213.99
Available for download
Person
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.