Rafael Jose JR Iorio, Rafael Jose Iorio Jr, Jr. Iorio

Fourier Analysis and Partial Differential Equations

• Gebundenes Buch

Produktbeschreibung

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 Schrö dinger 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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 424
• Erscheinungstermin: 9. Oktober 2012
• Englisch
• Abmessung: 235mm x 157mm x 27mm
• Gewicht: 762g
• ISBN-13: 9780521621168
• ISBN-10: 052162116X
• Artikelnr.: 21403315

Inhaltsangabe

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.