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Fourier Analysis and Partial Differential Equations

✍ Scribed by Rafael José Iorio Jr, Valéria de Magalhães Iorio

Publisher
Cambridge University Press
Year
2001
Tongue
English
Leaves
417
Series
Cambridge Studies in Advanced Mathematics 70
Edition
1
Category
Library
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✦ Synopsis

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.

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