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Encyclopaedia of Mathematical Sciences Partial Differential Equations

Partial Differential Equations II

Elements of the Modern Theory. Equations with Constant Coefficients

Authors: Egorov, Yu.V., Komech, A.I., Shubin, M.A.

Editors: Egorov, Yu.V., Shubin, M.A. (Eds.)

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eBook $109.00
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  • ISBN 978-3-642-57876-2
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Hardcover $149.99
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  • ISBN 978-3-540-52001-6
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  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
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  • ISBN 978-3-540-65377-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.

Reviews

"... Summarizing, the book presents a well-written survey of the modern theory of general PDE-s with most necessary proofs or hints, and with some explicit constructions. Therefore it will be useful for specialists in PDE-s as well as for students with basic knowledge in classical theory of PDE-s. The book is warmly recommended also to physicists, engineers and anyone interested in theory or/and applications of PDE-s."

J. Hegedüs, Acta Scientiarum Mathematicarum, Vol. 70, 2004

 


Table of contents (14 chapters)

  • Linear Partial Differential Equations. Elements of the Modern Theory

    Egorov, Yu. V. (et al.)

    Pages 1-120

  • Linear Partial Differential Equations with Constant Coefficients

    Komech, A. I.

    Pages 121-255

  • Wave Front of a Distribution and Simplest Theorems on Propagation of Singularities

    Egorov, Yu. V. (et al.)

    Pages 44-48

  • Fourier Integral Operators

    Egorov, Yu. V. (et al.)

    Pages 48-60

  • Pseudo differential Operators of Principal Type

    Egorov, Yu. V. (et al.)

    Pages 60-65

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-642-57876-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-540-52001-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-3-540-65377-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations II
Book Subtitle
Elements of the Modern Theory. Equations with Constant Coefficients
Authors
Editors
  • Yu.V. Egorov
  • M.A. Shubin
Translated by
Sinha, U.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
31
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-57876-2
DOI
10.1007/978-3-642-57876-2
Hardcover ISBN
978-3-540-52001-6
Softcover ISBN
978-3-540-65377-6
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VII, 266
Additional Information
Originally Russian edition published by VINITI, Moscow, 1988. Originally published as volume 31 in the series: Encyclopaedia of Mathematical Sciences
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