Aspects of Sobolev-Type Inequalities / (Record no. 41423)

000 -LEADER
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
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK12129 http://dx.doi.org/10.1017/CBO9780511549762 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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