Fourier Analysis and Partial Differential Equations (Cambridge Studies in Advanced Mathematics) 1st edition by Iorio Jr, Rafael José, Iorio, Valéria de Magalh&#. , English, Book edition: Fourier analysis and partial differential equations / Rafael José Iorio, Jr., Valéria de Magalhães Iorio. Iorio Jr., Rafael José (Iorio. Cambridge Studies in Advanced Mathematics: Fourier Analysis and Partial Differential Equations Series Number 70 by Jr. Rafael Jose Iorio,
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Fourier analysis and partial differential equations in SearchWorks catalog
Cambridge Studies in Advanced Mathematics: Description This book was first published in It provides an introduction to Fourier analysis and partial differential equations and 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. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators.
After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schroedinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case.
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Other books in this series. Volume 1 Richard P.
Volume 1 Claire Voisin. Table of contents Part I. Fourier Series and Periodic Distributions: Periodic distributions and Sobolev spaces; Part II.
Applications to Partial Differential Equations: Nonlinear evolution equations; 6. Distributions, Fourier transforms and linear equations; 8. Commutator estimates; Bibliography; Index.
Review quote ‘Students and those beginning their academic career should find this text interesting and stimulating.