000			03073nam a22004215i 4500
001			978-1-4419-7052-7
003			DE-He213
005			20140220083722.0
007			cr nn 008mamaa
008			101109s2011 xxu| s |||| 0|eng d
020			_a9781441970527 _9978-1-4419-7052-7
024	7		_a10.1007/978-1-4419-7052-7 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aTaylor, Michael E. _eauthor.
245	1	0	_aPartial Differential Equations II _h[electronic resource] : _bQualitative Studies of Linear Equations / _cby Michael E. Taylor.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2011.
300			_aXXII, 614 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied Mathematical Sciences, _x0066-5452 ; _v116
520			_aThis second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space of pseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such operators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained through the use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.”(SIAM Review, June 1998)
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: _z9781441970510
830		0	_aApplied Mathematical Sciences, _x0066-5452 ; _v116
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-7052-7
912			_aZDB-2-SMA
999			_c105678 _d105678