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  • © 1998

Foundations of the Classical Theory of Partial Differential Equations

Authors:

  • The book gives an excellent account of the classical part of PDE theory with historical background

Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 30)

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  • ISBN: 978-3-642-58093-2
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Table of contents (2 chapters)

  1. Front Matter

    Pages i-6
  2. Basic Concepts

    • Yu. V. Egorov, M. A. Shubin
    Pages 7-46
  3. The Classical Theory

    • Yu. V. Egorov, M. A. Shubin
    Pages 47-241
  4. Back Matter

    Pages 242-259

About this book

From the reviews of the first printing, published as volume 30 of the Encyclopaedia of Mathematical Sciences: "... I think the volume is a great success and an excellent preparation for future volumes in the series. ... the introductory style of Egorov and Shubin is .. attractive. ... a welcome addition to the literature and I am looking forward to the appearance of more volumes of the Encyclopedia in the near future. ..."
The Mathematical Intelligencer, 1993
"... According to the authors ... the work was written for nonspecialists and physicists but in my opinion almost every specialist will find something new ... in the text. The style is clear, the notations are chosen luckily. The most characteristic feature of the work is the accurate emphasis on the fundamental notions ..."
Acta Scientiarum Mathematicarum, 1993

"... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume."
Monatshefte für Mathematik, 1993 "... It is comparable in scope with the great Courant-Hilbert "Methods of Mathematical Physics", but it is much shorter, more up to date of course, and contains more elaborate analytical machinery. A general background in functional analysis is required, but much of the theory is explained from scratch, anad the physical background of the mathematical theory is kept clearly in mind. The book gives a good and readable overview of the subject. ... carefully written, well translated, and well produced."
The Mathematical Gazette, 1993

Keywords

  • Partielle Differentialgleichungen
  • YellowSale2006
  • partial differential equations
  • Cauchy problem
  • derivative
  • differential equation
  • differential operator
  • distribution
  • Fourier transform
  • infinity
  • maximum
  • maximum principle
  • operator
  • partial differential equation
  • Potential
  • reflection
  • Smooth function
  • solution

Reviews

From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for the nonspecialists and physicists but in my opinion almost every specialist will find something new for herself/himself in the text. ..." Acta Scientiarum Mathematicarum, 1993 "... On the whole, a thorough overview on the classical aspects of the topic may be gained from that volume." Monatshefte für Mathematik, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993

Bibliographic Information

  • Book Title: Foundations of the Classical Theory of Partial Differential Equations

  • Authors: Yu. V. Egorov, M. A. Shubin

  • Series Title: Encyclopaedia of Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-3-642-58093-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Hardcover ISBN: 978-3-540-52002-3

  • Softcover ISBN: 978-3-540-63825-4

  • eBook ISBN: 978-3-642-58093-2

  • Series ISSN: 0938-0396

  • Edition Number: 1

  • Number of Pages: V, 259

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Originally published as volume 30 in the series: Encyclopaedia of Mathematical Sciences

  • Topics: Analysis, Theoretical, Mathematical and Computational Physics

Buying options

eBook
USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-58093-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 79.99
Price excludes VAT (USA)