000			03674cam0a2200481 4500
001			7558
009			148944310
003			http://www.sudoc.fr/148944310
005			20250630091801.0
010			_a9780387709130 _bbr.
020			_aUS _b2010938382
073		1	_a9780387709130
090			_a7558
099			_tOUVR _zALEX19844
100			_a20110105h20112011k y0frey50 ba
101	0		_aeng _2639-2
102			_aUS _aDE _aZZ
105			_aa a 001yy
106			_ar
181			_6z01 _ctxt _2rdacontent
181		1	_6z01 _ai# _bxxxe##
182			_6z01 _cn _2rdamedia
182		1	_6z01 _an
183		1	_6z01 _anga _2RDAfrCarrier
200	1		_aFunctional analysis, Sobolev spaces and partial differential equations _fHaim Brezis
214		0	_aNew York _aDordrecht _aHeidelberg [etc.] _cSpringer
214		4	_dC 2011
215			_a1 vol. (XIII-599 p.) _cill. _d24 cm
225	2		_aUniversitext
311			_aEdition anglaise révisée, mise à jour et étendue avec de nouveaux problèmes et exercices (avec solutions) de l'ouvrage publié en français chez Masson sous le titre : "Analyse fonctionnelle : théorie et applications" (1983)
320			_aBibliogr. p. 585-594. Index.
330			_aUniquely, this book presents a coherent, concise and unified way of combining elements from two distinct “worlds,” functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research. This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important “Analyse Fonctionnelle” (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis. _24e de couverture
410			_0013372300 _tUniversitext (Berlin. Print) _x0172-5939
452			_0149891326 _tFunctional analysis, Sobolev spaces and partial differential equations _fHaim Brezis _sUniversitext
488			_0000750085 _tAnalyse fonctionnelle _othéorie et applications _fHaïm Brezis _p1 vol. (XIV-233 p.) _sCollection Mathématiques appliquées pour la maîtrise
606			_302735959X _aAnalyse fonctionnelle _2rameau
606			_3027554325 _aSobolev, Espaces de _2rameau
606			_3027225402 _aÉquations aux dérivées partielles _2rameau
676			_a515.7 _v22
686			_a35Rxx _c2010 _2msc
686			_a46Sxx _c2010 _2msc
686			_a47Sxx _c2010 _2msc
700		1	_3032438249 _aBrézis _bHaïm _f1944-2024 _4070