000			02756nam a22003617i 4500
003			UVAL
005			20240507115420.0
007			ta
008			101001s2011 nyua b 001 0 eng
020			_a9780387709130
040			_aDIBRA _bspa _cUVAL _erda
041			_aeng
082	0	4	_a515.7 _222
100	1		_aBrézis, H. _q(Haim) _9227418, _eautor.
245	1	0	_aFunctional analysis, Sobolev spaces and partial differential equations / _cHaim Brezis.
264		1	_aNew York : _bSpringer, _c2011.
264		1	_aLondon : _bSpringer, _c2011.
300			_axiii, 599 páginas : _bilustraciones.
347			_2rda _atext file _bPDF
490	1		_aUniversitext
500			_aIncluye índice.
504			_aBibliografía: páginas 585-594.
520			_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.
520	8		_aThis 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 die 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.
520	8		_aThe 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.
650		4	_aANALISIS FUNCIONAL _94594.
650		4	_aECUACIONES DIFERENCIALES PARCIALES _96940.
830		0	_aUniversitext.
942			_2ddc _cBK
999			_c104358 _d104358