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Principles of Partial Differential Equations

  • Textbook
  • © 2009

Overview

Authors:
  1. Alexander Komech

    1. Faculty of Mathematics, Vienna University, Vienna, Austria

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    You can also search for this author in PubMed   Google Scholar

  2. Andrew Komech

    1. Department of Mathematics, Texas A&M University, College Station, USA

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    You can also search for this author in PubMed   Google Scholar

  • Discusses: Classical tools of PDE theory used in today's science and engineering
  • Characteristics, wave propagation, and the Fourier method
  • Sobolev spaces and Green's functions
  • Problem-oriented approach
  • Includes supplementary material: sn.pub/extras

Part of the book series: Problem Books in Mathematics (PBM)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Hyperbolic equations. Method of characteristics

    • Alexander Komech, Andrew Komech
    Pages 1-63

  3. The Fourier method

    • Alexander Komech, Andrew Komech
    Pages 65-103

  4. Distributions and Green’s functions

    • Alexander Komech, Andrew Komech
    Pages 105-131

  5. Fundamental solutions and Green’s functions in higher dimensions

    • Alexander Komech, Andrew Komech
    Pages 133-153

  6. Erratum

    • Springer Science+Business Media, LLC
    Pages 162-162

  7. Back Matter

    Pages 155-161
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Keywords

About this book

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions.  The approach is problem-oriented, giving the reader an opportunity to master solution techniques.  The theoretical part is rigorous and with important details presented with care.  Hints are provided to help the reader restore the arguments to their full rigor.  Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.

Authors and Affiliations

  • Faculty of Mathematics, Vienna University, Vienna, Austria

    Alexander Komech

  • Department of Mathematics, Texas A&M University, College Station, USA

    Andrew Komech

About the authors



Bibliographic Information

  • Book Title: Principles of Partial Differential Equations

  • Authors: Alexander Komech, Andrew Komech

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4419-1096-7

  • Publisher: Springer New York, NY

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

  • Copyright Information: Springer-Verlag New York 2009

  • Hardcover ISBN: 978-1-4419-1095-0Published: 05 October 2009

  • Softcover ISBN: 978-1-4614-2462-8Published: 03 March 2012

  • eBook ISBN: 978-1-4419-1096-7Published: 23 September 2009

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 1

  • Number of Pages: X, 161

  • Number of Illustrations: 85 b/w illustrations

  • Topics: Analysis, Partial Differential Equations

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