Format:
1 online resource (xi, 411 pages)
ISBN:
9780511623745
,
9780521621168
,
9780521629096
Series Statement:
Cambridge studies in advanced mathematics 70
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521621168
Additional Edition:
Iorio, Rafael José, 1947 - Fourier analysis and partial differential equations Cambridge [u.a.] : Cambridge Univ. Press, 2001 ISBN 052162116X
Language:
English
Subjects:
Mathematics
Keywords:
Harmonische Analyse
;
Partielle Differentialgleichung
DOI:
10.1017/CBO9780511623745
URL:
Volltext
(URL des Erstveröffentlichers)
