| 000 | 02348nam a22003858a 4500 | ||
|---|---|---|---|
| 001 | CR9780511549762 | ||
| 003 | UkCbUP | ||
| 005 | 20160624102259.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090511s2001||||enk s ||1 0|eng|d | ||
| 020 | _a9780511549762 (ebook) | ||
| 020 | _z9780521006071 (paperback) | ||
| 040 |
_aUkCbUP _cUkCbUP _erda |
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| 050 | 0 | 0 |
_aQA323 _b.S35 2002 |
| 082 | 0 | 0 |
_a515/.782 _221 |
| 100 | 1 |
_aSaloff-Coste, Laurent, _eauthor. |
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| 245 | 1 | 0 |
_aAspects of Sobolev-Type Inequalities / _cLaurent Saloff-Coste. |
| 260 | 1 |
_aCambridge : _bCambridge University Press, _c2001. |
|
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2001. |
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| 300 |
_a1 online resource (202 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 289 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). | ||
| 520 | _aThis book, first published in 2001, focuses on Poincaré, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds. Applications covered include the ultracontractivity of the heat diffusion semigroup, Gaussian heat kernel bounds, the Rozenblum-Lieb-Cwikel inequality and elliptic and parabolic Harnack inequalities. Emphasis is placed on the role of families of local Poincaré and Sobolev inequalities. The text provides the first self contained account of the equivalence between the uniform parabolic Harnack inequality, on the one hand, and the conjunction of the doubling volume property and Poincaré's inequality on the other. It is suitable to be used as an advanced graduate textbook and will also be a useful source of information for graduate students and researchers in analysis on manifolds, geometric differential equations, Brownian motion and diffusion on manifolds, as well as other related areas. | ||
| 650 | 0 | _aSobolev spaces | |
| 650 | 0 | _aInequalities (Mathematics) | |
| 776 | 0 | 8 |
_iPrint version: _z9780521006071 |
| 786 | _dCambridge | ||
| 830 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 289. |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9780511549762 |
| 942 |
_2EBK12129 _cEBK |
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| 999 |
_c41423 _d41423 |
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