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Fourier analysis and partial differe...

Iorio Jr., Rafael Jose

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Fourier analysis and partial differential equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fourier analysis and partial differential equations/ Rafael Jose Iorio, Jr., Valeria de Magalhaes Iorio.
remainder title:	Fourier Analysis & Partial Differential Equations
Author:	Iorio Jr., Rafael Jose
other author:	Iorio, Valeria de Magalhaes.
Published:	Cambridge :Cambridge University Press, : 2001.,
Description:	xi, 411 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Fourier analysis. -
Online resource:	https://doi.org/10.1017/CBO9780511623745
ISBN:	9780511623745

Fourier analysis and partial differential equations
Iorio Jr., Rafael Jose

Fourier analysis and partial differential equations[electronic resource] /Fourier Analysis & Partial Differential EquationsRafael Jose Iorio, Jr., Valeria de Magalhaes Iorio. - Cambridge :Cambridge University Press,2001. - xi, 411 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;70. - Cambridge studies in advanced mathematics ;70..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 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.

ISBN: 9780511623745Subjects--Topical Terms:

532730
Fourier analysis.

LC Class. No.: QA403.5 / .I57 2001

Dewey Class. No.: 515.2433

Fourier analysis and partial differential equations
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020 $a 9780511623745 $q (electronic bk.)
020 $a 9780521621168 $q (hardback)
020 $a 9780521629096 $q (paperback)
035 $a CR9780511623745
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA403.5 $b .I57 2001
082 0 4 $a 515.2433 $2 21
090 $a QA403.5 $b .I64 2001
100 1 $a Iorio Jr., Rafael Jose $q (Iorio Junior) $3 3470554
245 1 0 $a Fourier analysis and partial differential equations $h [electronic resource] / $c Rafael Jose Iorio, Jr., Valeria de Magalhaes Iorio.
246 3 $a Fourier Analysis & Partial Differential Equations
260 $a Cambridge : $b Cambridge University Press, $c 2001.
300 $a xi, 411 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 70
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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 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.
650 0 $a Fourier analysis. $3 532730
650 0 $a Differential equations, Partial. $3 518115
700 1 $a Iorio, Valeria de Magalhaes. $3 3470555
830 0 $a Cambridge studies in advanced mathematics ; $v 70. $3 3470556
856 4 0 $u https://doi.org/10.1017/CBO9780511623745