Principles of Partial Differential Equations

  • Alexander Komech
  • Andrew Komech

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Alexander Komech, Andrew Komech
    Pages 1-63
  3. Alexander Komech, Andrew Komech
    Pages 65-103
  4. Alexander Komech, Andrew Komech
    Pages 105-131
  5. Alexander Komech, Andrew Komech
    Pages 133-153
  6. Springer Science+Business Media, LLC
    Pages 162-162
  7. Back Matter
    Pages 155-161

About this book

Introduction

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.

Keywords

Green's functions PDEs Sobolev space distributions hyperbolic equation partial differential equation partial differential equations wave propagation

Authors and affiliations

  • Alexander Komech
    • 1
  • Andrew Komech
    • 2
  1. 1.Faculty of MathematicsVienna UniversityViennaAustria
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-1096-7
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-1095-0
  • Online ISBN 978-1-4419-1096-7
  • Series Print ISSN 0941-3502
  • About this book
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