Overview
- Connects clearly PDEs and complex variable methods
- The exposition is very careful and readable
- Encyclopedia-like book on the subject
Part of the book series: Universitext (UTX)
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Table of contents (6 chapters)
Keywords
About this book
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods.
In this second volume the following topics are treated: Solvability of operator equations in Banach spaces, Linear operators in Hilbert spaces and spectral theory, Schauder's theory of linear elliptic differential equations, Weak solutions of differential equations, Nonlinear partial differential equations and characteristics, Nonlinear elliptic systems with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, functional analytic methods are used in this volume.
This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
Reviews
From the reviews:
“The author’s aim is to present the entire domain Partial Differential Equations to students at an intermediate level. … it is a carefully written treatise and with its quite non-standard choice of topics provides a welcome addition to the textbook literature on partial differential equations.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 154 (1), May, 2008)Authors and Affiliations
Bibliographic Information
Book Title: Partial Differential Equations 2
Book Subtitle: Functional Analytic Methods
Authors: Friedrich Sauvigny
Series Title: Universitext
DOI: https://doi.org/10.1007/3-540-34462-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
eBook ISBN: 978-3-540-34462-9Published: 11 October 2006
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XIV, 392
Number of Illustrations: 7 b/w illustrations, 1 illustrations in colour
Topics: Partial Differential Equations, Functional Analysis, Mathematical Methods in Physics