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Fourier analysis and partial differe...

Iorio Jr., Rafael Jose

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Fourier analysis and partial differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fourier analysis and partial differential equations/ Rafael Jose Iorio, Jr., Valeria de Magalhaes Iorio.
其他題名:	Fourier Analysis & Partial Differential Equations
作者:	Iorio Jr., Rafael Jose
其他作者:	Iorio, Valeria de Magalhaes.
出版者:	Cambridge :Cambridge University Press, : 2001.,
面頁冊數:	xi, 411 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Fourier analysis. -
電子資源:	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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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
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