000			03194nam a22003855i 4500
001			287446
003			MX-SnUAN
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007			cr nn 008mamaa
008			150903s2012 xxk| o |||| 0|eng d
020			_a9781447128076 _99781447128076
024	7		_a10.1007/9781447128076 _2doi
035			_avtls000339635
039		9	_a201509030318 _bVLOAD _c201404300403 _dVLOAD _y201402060940 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aDemengel, Françoise. _eautor _9316639
245	1	0	_aFunctional Spaces for the Theory of Elliptic Partial Differential Equations / _cby Françoise Demengel, Gilbert Demengel.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2012.
300			_axviii, 465 páginas 11 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, _x0172-5939
500			_aSpringer eBooks
505	0		_aPreliminaries on ellipticity -- Notions from Topology and Functional Analysis -- Sobolev Spaces and Embedding Theorems -- Traces of Functions on Sobolev Spaces -- Fractional Sobolev Spaces -- Elliptic PDE: Variational Techniques -- Distributions with measures as derivatives.- Korn's Inequality in Lp -- Appendix on Regularity.
520			_aLinear and non-linear elliptic boundary problems are a fundamental subject in analysis and the spaces of weakly differentiable functions (also called Sobolev spaces) are an essential tool for analysing the regularity of its solutions.   The complete theory of Sobolev spaces is covered whilst also explaining how abstract convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. Other kinds of functional spaces are also included, useful for treating variational problems such as the minimal surface problem.   Almost every result comes with a complete and detailed proof. In some cases, more than one proof is provided in order to highlight different aspects of the result. A range of exercises of varying levels of difficulty concludes each chapter with hints to solutions for many of them.   It is hoped that this book will provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on Schwartz spaces.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aDemengel, Gilbert. _eautor _9316640
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781447128069
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4471-2807-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c287446 _d287446