000			03392nam a22005055i 4500
001			978-1-4614-1584-8
003			DE-He213
005			20140220083243.0
007			cr nn 008mamaa
008			111111s2012 xxu| s |||| 0|eng d
020			_a9781461415848 _9978-1-4614-1584-8
024	7		_a10.1007/978-1-4614-1584-8 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aDiBenedetto, Emmanuele. _eauthor.
245	1	0	_aHarnack's Inequality for Degenerate and Singular Parabolic Equations _h[electronic resource] / _cby Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri.
264		1	_aNew York, NY : _bSpringer New York, _c2012.
300			_aXIV, 278 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aPreface -- 1. Introduction -- 2. Preliminaries -- 3. Degenerate and Singular Parabolic Equations -- 4. Expansion of Positivity -- 5. The Harnack Inequality for Degenerate Equations -- 6. The Harnack Inequality for Singular Equations -- 7. Homogeneous Monotone Singular Equations -- Appendix A -- Appendix B -- Appendix C -- References -- Index.
520			_aWhile degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory is now reasonably complete—except for the singular subcritical range—both for the p-Laplacian and the porous medium equations. This monograph provides a comprehensive overview of the subject that highlights open problems.  The authors treat the Harnack inequality for nonnegative solutions to p-Laplace and porous medium type equations, both in the degenerate and in the singular range. The work is mathematical in nature; its aim is to introduce a novel set of tools and techniques that deepen our understanding of the notions of degeneracy and singularity in partial differential equations.  Although related in spirit to a monograph by the first author in this subject, this book is a self-contained treatment with a different perspective.  Here the focus is entirely on the Harnack estimates and on their applications; the authors use the Harnack inequality to reprove a number of known regularity results.  This book is aimed at researchers and advanced graduate students who work in this fascinating field.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential equations, partial.
650		0	_aFunctions, special.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aAnalysis.
650	2	4	_aSpecial Functions.
700	1		_aGianazza, Ugo. _eauthor.
700	1		_aVespri, Vincenzo. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461415831
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-1584-8
912			_aZDB-2-SMA
999			_c101101 _d101101