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Look Inside Fourier Analysis and Partial Differential Equations

Fourier Analysis and Partial Differential Equations

$96.99 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: July 2012
  • availability: Available
  • format: Paperback
  • isbn: 9780521629096

$ 96.99 (P)
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About the Authors
  • This modern introduction to Fourier analysis and partial differential equations is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations, including a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations; they turn their attention, in the two final chapters, to the nonperiodic setting, concentrating on problems that do not occur in the periodic case.

    • Minimal prerequisites, yet takes the reader to research topics
    • Lots of exercises with solutions available
    • Unique coverage
    Read more

    Reviews & endorsements

    'Students and those beginning their academic career should find this text interesting and stimulating.' European Mathematical Society Newsletter

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    Product details

    • Date Published: July 2012
    • format: Paperback
    • isbn: 9780521629096
    • length: 424 pages
    • dimensions: 229 x 152 x 24 mm
    • weight: 0.62kg
    • availability: Available
  • Table of Contents

    Part I. Fourier Series and Periodic Distributions:
    1. Preliminaries
    2. Fourier series: basic theory
    3. Periodic distributions and Sobolev spaces
    Part II. Applications to Partial Differential Equations:
    4. Linear equations
    5. Nonlinear evolution equations
    6. The Korteweg-de Vries
    Part III. Some Nonperiodic Problems:
    7. Distributions, Fourier transforms and linear equations
    8. KdV, BO and friends
    Appendix A. Tools from the theory of ODEs
    Appendix B. Commutator estimates
    Bibliography
    Index.

  • Authors

    Rafael José Iorio, Jr, IMPA, Rio de Janeiro

    Valéria de Magalhães Iorio, Fundacão Educacional Serra dos Orgãos, Rio de Janeiro

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