000			03214nam a22004695i 4500
001			978-1-4471-2807-6
003			DE-He213
005			20140220083236.0
007			cr nn 008mamaa
008			120121s2012 xxk| s |||| 0|eng d
020			_a9781447128076 _9978-1-4471-2807-6
024	7		_a10.1007/978-1-4471-2807-6 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aDemengel, Françoise. _eauthor.
245	1	0	_aFunctional Spaces for the Theory of Elliptic Partial Differential Equations _h[electronic resource] / _cby Françoise Demengel, Gilbert Demengel.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2012.
300			_aXVIII, 465 p. 11 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext, _x0172-5939
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.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aFunctional Analysis.
700	1		_aDemengel, Gilbert. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781447128069
830		0	_aUniversitext, _x0172-5939
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4471-2807-6
912			_aZDB-2-SMA
999			_c100711 _d100711