000			02935nam a2200421 a 4500
001			00013994
003			WSP
005			20260416153415.0
006			m o d
007			cr |nu|||unuuu
008			250212s2025 si ob 001 0 eng d
040			_aWSPC _beng _cWSPC
020			_a9789811298516 _q(ebook)
020			_a9811298513 _q(ebook)
020			_z9789811298509 _q(hbk.)
020			_z9811298505 _q(hbk.)
050	1	4	_aQA377
072		7	_aMAT _x007020 _2bisacsh
072		7	_aMAT _x037000 _2bisacsh
072		7	_aMAT _x003000 _2bisacsh
082	0	4	_a515.353 _223
049			_aMAIN
100	1		_aBoukarou, Aissa.
245	1	0	_aPartial differential equations in Sobolev and analytic spaces / _cAissa Boukarou, Khaled Zennir, Svetlin G Georgiev.
260			_aSingapore : _bWorld Scientific Publishing, _c©2025.
300			_a1 online resource (632 p.)
504			_aIncludes bibliographical references and index.
505	0		_aPreliminaries -- Lebesgue integration -- The Lp spaces -- Distributions: the Fourier transform -- Sobolev spaces: analytic spaces -- Original method for the KdV equation in Hs(R) -- Fifth-order shallow water equation -- Higher-order nonlinear dispersive equation -- Kadomtsev-Petviashvili in analytic spaces -- Generalized Kadomtsev-Petviashvili I equation -- Coupled system of KdV equations in Gevrey spaces -- System of generalized KdV equations.
520			_a"Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in areas like differential geometry and the calculus of variations. This book focuses on recent investigations of PDEs in Sobolev and analytic spaces. It consists of twelve chapters, starting with foundational definitions and results on linear, metric, normed, and Banach spaces, which are essential for introducing weak solutions to PDEs. Subsequent chapters cover topics such as Lebesgue integration, Lp spaces, distributions, Fourier transforms, Sobolev and Bourgain spaces, and various types of KdV equations. Advanced topics include higher order dispersive equations, local and global well-posedness, and specific classes of Kadomtsev-Petviashvili equations. This book is intended for specialists like mathematicians, physicists, engineers, and biologists. It can serve as a graduate-level textbook and a reference for multiple disciplines"-- _cPublisher's website.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Adobe Acrobat reader.
650		0	_aDifferential equations, Partial.
650		0	_aSobolev spaces.
650		0	_aAnalytic spaces.
655		0	_aElectronic books.
856	4	0	_uhttps://www.worldscientific.com/worldscibooks/10.1142/13994#t=toc
942			_cE-BOOK
999			_c49781 _d49781