000			01942nam a2200301Ia 4500
003			OSt
005			20240130203656.0
008			231229s9999 xx 000 0 und d
020			_a9780521629096
040			_cIISER BPR
041			_aEng
082			_a515.2433 _bIOR _223rd
100			_aIorio Jr, Rafael José
245		0	_aFourier analysis and partial differential equations
250			_a1st ed.
260			_aCambridge: _bCUP, _cc2001
300			_axi, 411p. : _bpbk. ; _c22cm.
440			_aCambridge studies in advanced mathematics ; _vVol. 70
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. Includes appendix, bibliography and index.
650			_aMathematics
650			_aDifferential and Integral Equations
650			_aDynamical Systems and Control Theory
650			_aAbstract Analysis
700			_aIorio, Valeria de Magalhaes
942			_cBK _2ddc
947			_a6688.106296999999
948			_a22
999			_c3237 _d3237