000			01868 a2200253 4500
999			_c54440 _d54440
008			210324b ||||| |||| 00| 0 eng d
020			_a9780521629096
082			_a515.2433 _bIOR
100			_aIorio, Rafael
245			_aFourier analysis and partial differential equations
260			_bCambridge University Press, _c2001. _aCambridge:
300			_axi, 411 p. : ill. ; _bpb. ; _c24 cm.
365			_aGBP _b58.00
440			_aCambridge studies in advanced mathematics ; 70
504			_aIncludes index. Bibliography : p. 401-408.
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			_aDifferential equations, Partial
650			_aPeriodic Distributions and Sobolev Spaces
650			_aThe Korteweg-de Vries Equation
650			_aFourier analysis
650			_aAnalysis
700			_aIorio, Valřia de Magalhês
942			_2ddc _cTD