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008			110210s2011 gw | s |||| 0|eng d
020			_a9783642155642 _9978-3-642-15564-2
040			_cMX-MeUAM
050		4	_aQA299.6-433
082	0	4	_a515 _223
100	1		_aMaz'ya, Vladimir. _eauthor.
245	1	0	_aSobolev Spaces _h[recurso electrónico] : _bwith Applications to Elliptic Partial Differential Equations / _cby Vladimir Maz'ya.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXXVIII, 866p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v342
505	0		_aIntroduction -- 1 .Basic Properties of Sobolev Spaces -- 2 .Inequalities for Functions Vanishing at the Boundary -- 3.Conductor and Capacitary Inequalities with Applications to Sobolev-type Embeddings -- 4.Generalizations for Functions on Manifolds and Topological Spaces -- 5.Integrability of Functions in the Space L 1/1(O) -- 6.Integrability of Functions in the Space L 1/p (O) -- 7.Continuity and Boundedness of Functions in Sobolev Spaces -- 8.Localization Moduli of Sobolev Embeddings for General Domains -- 9.Space of Functions of Bounded Variation -- 10.Certain Function Spaces, Capacities and Potentials -- 11 Capacitary and Trace Inequalities for Functions in Rn with Derivatives of an Arbitrary Order.-12.Pointwise Interpolation Inequalities for Derivatives and Potentials -- 13.A Variant of Capacity -- 14.-Integral Inequality for Functions on a Cube -- 15.Embedding of the Space L l/p(O) into Other Function Spaces -- 16.Embedding L l/p(O) ? W m/r(O).-17.Approximation in Weighted Sobolev Spaces.-18.Spectrum of the Schrödinger operator and the Dirichlet Laplacian -- References -- List of Symbols -- Subject Index -- Author Index.
520			_aSobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume ?rst appeared in German as three booklets of Teubner-Texte zur Mathematik (1979,1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a signi?cantly augmented list of references aim to create a broader and modern view of the area.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642155635
830		0	_aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, _x0072-7830 ; _v342
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-15564-2
596			_a19
942			_cLIBRO_ELEC
999			_c202946 _d202946