Fourier Analysis and Partial Differential Equations: 70 (Cambridge Studies in Advanced Mathematics, Series Number 70) - Softcover

Iorio Jr., Rafael José

Softcover

ISBN 10: 0521629098 ISBN 13: 9780521629096

Publisher: Cambridge University Press, 2012

Synopsis

This book was first published in 2001. 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 Schrödinger 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.

About this title

Review

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

Book Description

This 2001 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 the nonlinear Schrödinger and Kortweg-de Vries equations.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• Language: English
• ISBN 10: 0521629098
• ISBN 13: 9780521629096
• Binding: Paperback
• Number of pages: 424