Fourier Analysis and Partial Differential Equations is popular PDF and ePub book, written by Iorio Júnior Iorio Jr. in 2001-03-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fourier Analysis and Partial Differential Equations can be Read Online from any device for your convenience.
Fourier Analysis and Partial Differential Equations Book PDF Summary
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.
Detail Book of Fourier Analysis and Partial Differential Equations PDF
- Author : Iorio Júnior Iorio Jr.
- Release : 15 March 2001
- Publisher : Cambridge University Press
- ISBN : 052162116X
- Genre : Mathematics
- Total Page : 428 pages
- Language : English
- PDF File Size : 18,8 Mb
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