Universitext

Partial Differential Equations 2

Functional Analytic Methods

Authors: Sauvigny, Friedrich

  • Provides a complete and thorough introduction into the theory of linear and nonlinear partial differential equations
  • Presents interesting applications to physics and differential geometry
  • Includes the basic methods from linear and nonlinear functional analysis
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eBook $59.99
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  • ISBN 978-1-4471-2984-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-1-4471-2983-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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About this Textbook

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.

In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. 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
  • boundary value problems from differential geometry

This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added.

In the first volume, partial differential equations by integral representations are treated in a classical way.

This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.

Reviews

From the reviews of the second edition:

“The second volume of the revised edition of this book presents functional analytic methods and applications to problems in differential geometry. … The book will be a useful addition to the libraries of all those interested in the theory and applications of partial differential equations.” (Vicenţiu D. Rădulescu, Zentralblatt MATH, Vol. 1246, 2012)

Table of contents (7 chapters)

  • Operators in Banach Spaces

    Sauvigny, Friedrich

    Pages 1-31

  • Linear Operators in Hilbert Spaces

    Sauvigny, Friedrich

    Pages 33-129

  • Linear Elliptic Differential Equations

    Sauvigny, Friedrich

    Pages 131-190

  • Weak Solutions of Elliptic Differential Equations

    Sauvigny, Friedrich

    Pages 191-260

  • Nonlinear Partial Differential Equations

    Sauvigny, Friedrich

    Pages 261-304

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4471-2984-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-1-4471-2983-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations 2
Book Subtitle
Functional Analytic Methods
Authors
Series Title
Universitext
Copyright
2012
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-2984-4
DOI
10.1007/978-1-4471-2984-4
Softcover ISBN
978-1-4471-2983-7
Series ISSN
0172-5939
Edition Number
2
Number of Pages
XVI, 453
Number of Illustrations and Tables
11 b/w illustrations
Topics