The theory of partial differential equations

Bibliographic Information

The theory of partial differential equations

Sigeru Mizohata

University Press, 1973

Other Title

偏微分方程式論

Henbibun-hoteishiki ron

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Note

Bibliography: p. 478-483

Translation of: 偏微分方程式論

"This english edition is published in England and arrangement with the author through Iwanami Shoten, publishers, Tokyo."--T.p. verso

Description and Table of Contents

Description

The basis of this graduate-level textbook is a careful survey of a wide range of problems affecting the solution of linear partial differential equations. The book begins with a fairly elementary introduction to the theory of Fourier series of continuous functions and goes on to describe the fundamental theory of linear partial differential equations of elliptic and hyperbolic types, equations of evolution, semi-linear hyperbolic equations and selected topics on Green's functions and spectra of some special operators. The book is intended for use by pure mathematicians in functional analysis. The selection of material is interesting and differs from existing literature in European languages. This paperback edition will make it particularly attractive to graduate students in pure and applied mathematics.

Table of Contents

  • Preface
  • 1. Fourier series and Fourier transforms
  • 2. Distributions
  • 3. Elliptic equations (fundamental theory)
  • 4. Initial value problems (Cauchy problems)
  • 5. Evolution equations
  • 6. Hyperbolic equations
  • 7. Semi-linear hyperbolic equations
  • 8. Green's functions and spectra
  • Supplementary remarks
  • Guide to the literature
  • Bibliography
  • Symbols
  • Index.

by "Nielsen BookData"

Details

  • NCID
    BA06850806
  • ISBN
    • 0521087279
  • LCCN
    72083593
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    jpn
  • Place of Publication
    Cambridge
  • Pages/Volumes
    xi, 490 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
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