000 02508nam a22003858i 4500
001 CR9780511623745
003 UkCbUP
005 20200124160220.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s2001||||enk o ||1 0|eng|d
020 _a9780511623745 (ebook)
020 _z9780521621168 (hardback)
020 _z9780521629096 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA403.5
_b.I57 2001
082 0 0 _a515/.2433
_221
100 1 _aIorio Jr., Rafael José
_q(Iorio Júnior),
_eauthor.
245 1 0 _aFourier analysis and partial differential equations /
_cRafael José Iorio, Jr., Valéria de Magalhães Iorio.
246 3 _aFourier Analysis & Partial Differential Equations
264 1 _aCambridge :
_bCambridge University Press,
_c2001.
300 _a1 online resource (xi, 411 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v70
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 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.
650 0 _aFourier analysis.
650 0 _aDifferential equations, Partial.
700 1 _aIorio, Valéria de Magalhães,
_eauthor.
776 0 8 _iPrint version:
_z9780521621168
830 0 _aCambridge studies in advanced mathematics ;
_v70.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511623745
999 _c516652
_d516650