Universitext

Partial Differential Equations 2

Functional Analytic Methods

Authors: Sauvigny, Friedrich

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eBook $54.99
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  • ISBN 978-3-540-34462-9
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About this Textbook

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)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-34462-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations 2
Book Subtitle
Functional Analytic Methods
Authors
Series Title
Universitext
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-34462-9
DOI
10.1007/3-540-34462-4
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIV, 392
Number of Illustrations and Tables
7 b/w illustrations, 1 illustrations in colour
Topics