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  • © 2011

Partial Differential Equations II

Qualitative Studies of Linear Equations

Authors:

  • Three volumes offer complete reference to pde’s
  • Includes both theory and applications
  • Lots of examples and exercises
  • Includes supplementary material: sn.pub/extras

Part of the book series: Applied Mathematical Sciences (AMS, volume 116)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xxii
  2. Pseudodifferential Operators

    • Michael E. Taylor
    Pages 1-90
  3. Spectral Theory

    • Michael E. Taylor
    Pages 91-173
  4. Scattering by Obstacles

    • Michael E. Taylor
    Pages 175-280
  5. Dirac Operators and Index Theory

    • Michael E. Taylor
    Pages 281-360
  6. Brownian Motion and Potential Theory

    • Michael E. Taylor
    Pages 361-456
  7. The \(\overline{\partial }\)-Neumann Problem

    • Michael E. Taylor
    Pages 457-537
  8. Connections and Curvature

    • Michael E. Taylor
    Pages 539-609
  9. Back Matter

    Pages 611-614

About this book

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

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)

Authors and Affiliations

  • Department of Mathematics, University of North Carolina, Chapel Hill, USA

    Michael E. Taylor

About the author

Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.

Bibliographic Information

  • Book Title: Partial Differential Equations II

  • Book Subtitle: Qualitative Studies of Linear Equations

  • Authors: Michael E. Taylor

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4419-7052-7

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Softcover ISBN: 978-1-4614-2742-1Published: 27 December 2012

  • eBook ISBN: 978-1-4419-7052-7Published: 02 November 2010

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 2

  • Number of Pages: XXII, 614

  • Topics: Partial Differential Equations

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access