Fourier Analysis and Partial Differential Equations (Hardcover)

Rafael Jose Iorio Jr

ISBN 10: 052162116X / ISBN 13: 9780521621168

Published by Cambridge University Press, Cambridge, 2001

About this Item

Hardcover. 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. 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 Schrodinger 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. 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 Schrodinger 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780521621168

Bibliographic Details

• Title: Fourier Analysis and Partial Differential Equations (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2001
• Language: English
• ISBN 10: 052162116X
• ISBN 13: 9780521621168
• Binding: Hardcover
• Edition: 1st Edition
• Condition: new

About this title

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.

Review

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