Fourier Analysis and Partial Differential Equations
$96.99 (P)
Part of Cambridge Studies in Advanced Mathematics
- Authors:
- Rafael José Iorio, Jr, IMPA, Rio de Janeiro
- Valéria de Magalhães Iorio, Fundacão Educacional Serra dos Orgãos, Rio de Janeiro
- Date Published: July 2012
- availability: Available
- format: Paperback
- isbn: 9780521629096
$
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(P)
Paperback
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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.
Read more- Minimal prerequisites, yet takes the reader to research topics
- Lots of exercises with solutions available
- Unique coverage
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.
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