000			03296nam a22003975i 4500
001			289029
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007			cr nn 008mamaa
008			150903s2012 xxu| o |||| 0|eng d
020			_a9781461415848 _99781461415848
024	7		_a10.1007/9781461415848 _2doi
035			_avtls000340630
039		9	_a201509030826 _bVLOAD _c201404300418 _dVLOAD _y201402061030 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aDiBenedetto, Emmanuele. _eautor _9306191
245	1	0	_aHarnack's Inequality for Degenerate and Singular Parabolic Equations / _cby Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri.
264		1	_aNew York, NY : _bSpringer New York, _c2012.
300			_axiii, 278 páginas 6 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aSpringer Monographs in Mathematics, _x1439-7382
500			_aSpringer eBooks
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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aGianazza, Ugo. _eautor _9319058
700	1		_aVespri, Vincenzo. _eautor _9319059
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781461415831
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-1584-8 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c289029 _d289029