000			03388nam a22004215i 4500
001			u373026
003			SIRSI
005			20160812084126.0
007			cr nn 008mamaa
008			100907s2010 sz | s |||| 0|eng d
020			_a9783034604772 _9978-3-0346-0477-2
040			_cMX-MeUAM
050		4	_aQA370-380
082	0	4	_a515.353 _223
100	1		_aBorsuk, Mikhail. _eauthor.
245	1	0	_aTransmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains _h[recurso electrónico] / _cby Mikhail Borsuk.
264		1	_aBasel : _bSpringer Basel, _c2010.
300			_aXI, 218p. 1 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aFrontiers in Mathematics, _x1660-8046
505	0		_aPreliminaries -- Eigenvalue problem and integro-differential inequalities -- Best possible estimates of solutions to the transmission problem for linear elliptic divergence second-order equations in a conical domain -- Transmission problem for the Laplace operator with N different media -- Transmission problem for weak quasi-linear elliptic equations in a conical domain -- Transmission problem for strong quasi-linear elliptic equations in a conical domain -- Best possible estimates of solutions to the transmission problem for a quasi-linear elliptic divergence second-order equation in a domain with a boundary edge.
520			_aThe goal of this book is to investigate the behavior of weak solutions of the elliptic transmission problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is discussed for both linear and quasilinear equations. A principal new feature of this book is the consideration of our estimates of weak solutions of the transmission problem for linear elliptic equations with minimal smooth coeciffients in n-dimensional conic domains. Only few works are devoted to the transmission problem for quasilinear elliptic equations. Therefore, we investigate the weak solutions for general divergence quasilinear elliptic second-order equations in n-dimensional conic domains or in domains with edges. The basis of the present work is the method of integro-differential inequalities. Such inequalities with exact estimating constants allow us to establish possible or best possible estimates of solutions to boundary value problems for elliptic equations near singularities on the boundary. A new Friedrichs–Wirtinger type inequality is proved and applied to the investigation of the behavior of weak solutions of the transmission problem. All results are given with complete proofs. The book will be of interest to graduate students and specialists in elliptic boundary value problems and applications.
650		0	_aMathematics.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034604765
830		0	_aFrontiers in Mathematics, _x1660-8046
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0346-0477-2
596			_a19
942			_cLIBRO_ELEC
999			_c200906 _d200906