000			04037nam a22003735i 4500
001			280447
003			MX-SnUAN
005			20160429154024.0
007			cr nn 008mamaa
008			150903s2010 xxu| o |||| 0|eng d
020			_a9780387709147 _99780387709147
024	7		_a10.1007/9780387709147 _2doi
035			_avtls000332084
039		9	_a201509030735 _bVLOAD _c201404122022 _dVLOAD _c201404091750 _dVLOAD _y201402041020 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA319-329.9
100	1		_aBrezis, Haim. _eautor _9305370
245	1	0	_aFunctional Analysis, Sobolev Spaces and Partial Differential Equations / _cby Haim Brezis.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_axiv, 600 páginas 9 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUniversitext
500			_aSpringer eBooks
505	0		_aPreface -- 1. The Hahn–Banach Theorems. Introduction to the Theory of Conjugate Convex Functions -- 2. The Uniform Boundedness Principle and the Closed Graph Theorem. Unbounded Operators. Adjoint. Characterization of Surjective Operators -- 3. Weak Topologies. Reflexive Spaces. Separable Spaces. Uniform Convexity -- 4. L^p Spaces -- 5. Hilbert Spaces -- 6. Compact Operators. Spectral Decomposition of Self-Adjoint Compact Operators -- 7. The Hille–Yosida Theorem -- 8. Sobolev Spaces and the Variational Formulation of Boundary Value Problems in One Dimension -- 9. Sobolev Spaces and the Variational Formulation of Elliptic Boundary Value Problems in N Dimensions -- 10. Evolution Problems: The Heat Equation and the Wave Equation -- 11. Some Complements -- Problems -- Solutions of Some Exercises and Problems -- Bibliography -- Index.
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. 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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387709130
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-70914-7 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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