Aspects of Sobolev-Type Inequalities / (Record no. 41423)
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000 -LEADER | |
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fixed length control field | 02348nam a22003858a 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9780511549762 (ebook) |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515/.782 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Saloff-Coste, Laurent, |
245 10 - TITLE STATEMENT | |
Title | Aspects of Sobolev-Type Inequalities / |
Statement of responsibility, etc | Laurent Saloff-Coste. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Cambridge : |
Name of publisher | Cambridge University Press, |
Year of publication | 2001. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | 1 online resource (202 pages) : |
Other physical details | digital, PDF file(s). |
490 0# - SERIES STATEMENT | |
Series statement | London Mathematical Society Lecture Note Series ; |
500 ## - GENERAL NOTE | |
General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
520 ## - SUMMARY, ETC. | |
Summary, etc | This 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Sobolev spaces |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Inequalities (Mathematics) |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9780511549762 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Cambridge : |
-- | Cambridge University Press, |
-- | 2001. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK12129 | http://dx.doi.org/10.1017/CBO9780511549762 | E-BOOKS |