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001 ocn839304256
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005 20160527040636.2
006 m o d
007 cr cnu---unuuu
008 130415s2002 enka ob 001 0 eng d
019 776966437|a797856560
020 9781107360747|q(electronic book)
020 1107360749|q(electronic book)
020 9780511549762|q(ebook)
020 0511549768|q(ebook)
020 9781107365650
020 1107365651
020 |z0521006074
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035 (OCoLC)839304256|z(OCoLC)776966437|z(OCoLC)797856560
040 N$T|beng|epn|cN$T|dOCLCF|dYDXCP|dAUD|dIDEBK|dMHW|dEBLCP
|dS4S|dDEBSZ|dE7B|dOCLCQ
049 RIDW
050 4 QA323|b.S35 2002eb
072 7 MAT|x037000|2bisacsh
082 04 515/.782|222
084 31.46|2bcl
090 QA323|b.S35 2002eb
100 1 Saloff-Coste, L.|0https://id.loc.gov/authorities/names/
no93013726
245 10 Aspects of Sobolev-type inequalities /|cLaurent Saloff-
Coste.
264 1 Cambridge ;|aNew York :|bCambridge University Press,
|c2002.
300 1 online resource (x, 190 pages) :|billustrations.
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
340 |gpolychrome|2rdacc
347 text file|2rdaft
490 1 London Mathematical Society lecture note series ;|v289
504 Includes bibliographical references (pages 183-188) and
index.
505 00 |g1|tSobolev inequalities in R[superscript n]|g7 --|g1.1
|tSobolev inequalities|g7 --|g1.1.2|tProof due to
Gagliardo and to Nirenberg|g9 --|g1.1.3|tp = 1 implies p
[greater than or equal] 1|g10 --|g1.2|tRiesz potentials
|g11 --|g1.2.1|tAnother approach to Sobolev inequalities
|g11 --|g1.2.2|tMarcinkiewicz interpolation theorem|g13 --
|g1.2.3|tProof of Sobolev Theorem 1.2.1|g16 --|g1.3|tBest
constants|g16 --|g1.3.1|tCase p = 1: isoperimetry|g16 --
|g1.3.2|tA complete proof with best constant for p = 1|g18
--|g1.3.3|tCase p> 1|g20 --|g1.4|tSome other Sobolev
inequalities|g21 --|g1.4.1|tCase p> n|g21 --|g1.4.2|tCase
p = n|g24 --|g1.4.3|tHigher derivatives|g26 --|g1.5
|tSobolev -- Poincare inequalities on balls|g29 --|g1.5.1
|tNeumann and Dirichlet eigenvalues|g29 --|g1.5.2
|tPoincare inequalities on Euclidean balls|g30 --|g1.5.3
|tSobolev -- Poincare inequalities|g31 --|g2|tMoser's
elliptic Harnack inequality|g33 --|g2.1|tElliptic
operators in divergence form|g33 --|g2.1.1|tDivergence
form|g33 --|g2.1.2|tUniform ellipticity|g34 --|g2.1.3|tA
Sobolev-type inequality for Moser's iteration|g37 --|g2.2
|tSubsolutions and supersolutions|g38 --|g2.2.1
|tSubsolutions|g38 --|g2.2.2|tSupersolutions|g43 --|g2.2.3
|tAn abstract lemma|g47 --|g2.3|tHarnack inequalities and
continuity|g49 --|g2.3.1|tHarnack inequalities|g49 --
|g2.3.2|tHolder continuity|g50 --|g3|tSobolev inequalities
on manifolds|g53 --|g3.1.1|tNotation concerning Riemannian
manifolds|g53 --|g3.1.2|tIsoperimetry|g55 --|g3.1.3
|tSobolev inequalities and volume growth|g57 --|g3.2|tWeak
and strong Sobolev inequalities|g60 --|g3.2.1|tExamples of
weak Sobolev inequalities|g60 --|g3.2.2|t(S[superscript
[theta] subscript r, s])-inequalities: the parameters q
and v|g61 --|g3.2.3|tCase 0 <q <[infinity]|g63 --|g3.2.4
|tCase 1 = [infinity]|g66 --|g3.2.5|tCase -[infinity] <q <
0|g68 --|g3.2.6|tIncreasing p|g70 --|g3.2.7|tLocal
versions|g72 --|g3.3.1|tPseudo-Poincare inequalities|g73 -
-|g3.3.2|tPseudo-Poincare technique: local version|g75 --
|g3.3.3|tLie groups|g77 --|g3.3.4|tPseudo-Poincare
inequalities on Lie groups|g79 --|g3.3.5|tRicci [greater
than or equal] 0 and maximal volume growth|g82 --|g3.3.6
|tSobolev inequality in precompact regions|g85 --|g4|tTwo
applications|g87 --|g4.1|tUltracontractivity|g87 --|g4.1.1
|tNash inequality implies ultracontractivity|g87 --|g4.1.2
|tConverse|g91 --|g4.2|tGaussian heat kernel estimates|g93
--|g4.2.1|tGaffney-Davies L[superscript 2] estimate|g93 --
|g4.2.2|tComplex interpolation|g95 --|g4.2.3|tPointwise
Gaussian upper bounds|g98 --|g4.2.4|tOn-diagonal lower
bounds|g99 --|g4.3|tRozenblum-Lieb-Cwikel inequality|g103
--|g4.3.1|tSchrodinger operator [Delta] -- V|g103 --
|g4.3.2|tOperator T[subscript V] = [Delta superscript -1]V
|g105 --|g4.3.3|tBirman-Schwinger principle|g109 --|g5
|tParabolic Harnack inequalities|g111 --|g5.1|tScale-
invariant Harnack principle|g111 --|g5.2|tLocal Sobolev
inequalities|g113 --|g5.2.1|tLocal Sobolev inequalities
and volume growth|g113 --|g5.2.2|tMean value inequalities
for subsolutions|g119 --|g5.2.3|tLocalized heat kernel
upper bounds|g122 --|g5.2.4|tTime-derivative upper bounds
|g127 --|g5.2.5|tMean value inequalities for
supersolutions|g128 --|g5.3|tPoincare inequalities|g130 --
|g5.3.1|tPoincare inequality and Sobolev inequality|g131 -
-|g5.3.2|tSome weighted Poincare inequalities|g133 --
|g5.3.3|tWhitney-type coverings|g135 --|g5.3.4|tA maximal
inequality and an application|g139 --|g5.3.5|tEnd of the
proof of Theorem 5.3.4|g141 --|g5.4|tHarnack inequalities
and applications|g143 --|g5.4.1|tAn inequality for log u
|g143 --|g5.4.2|tHarnack inequality for positive
supersolutions|g145 --|g5.4.3|tHarnack inequalities for
positive solutions|g146 --|g5.4.4|tHolder continuity|g149
--|g5.4.5|tLiouville theorems|g151 --|g5.4.6|tHeat kernel
lower bounds|g152 --|g5.4.7|tTwo-sided heat kernel bounds
|g154 --|g5.5|tParabolic Harnack principle|g155 --|g5.5.1
|tPoincare, doubling, and Harnack|g157 --|g5.5.2
|tStochastic completeness|g161 --|g5.5.3|tLocal Sobolev
inequalities and the heat equation|g164 --|g5.5.4
|tSelected applications of Theorem 5.5.1|g168 --|g5.6.1
|tUnimodular Lie groups|g172 --|g5.6.2|tHomogeneous spaces
|g175 --|g5.6.3|tManifolds with Ricci curvature bounded
below|g176.
520 Focusing on Poincaré, Nash and other Sobolev-type
inequalities and their applications to the Laplace and
heat diffusion equations on Riemannian manifolds, this
text is an advanced graduate book that will also suit
researchers.
588 0 Print version record.
590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic
Collection - North America
650 0 Sobolev spaces.|0https://id.loc.gov/authorities/subjects/
sh85123836
650 0 Inequalities (Mathematics)|0https://id.loc.gov/authorities
/subjects/sh85065985
650 7 Sobolev spaces.|2fast|0https://id.worldcat.org/fast/
1122115
650 7 Inequalities (Mathematics)|2fast|0https://id.worldcat.org/
fast/972020
655 0 Electronic books.
655 4 Electronic books.
776 08 |iPrint version:|aSaloff-Coste, L.|tAspects of Sobolev-
type inequalities.|dCambridge ; New York : Cambridge
University Press, 2002|z0521006074|w(DLC) 2001035237
|w(OCoLC)46810848
830 0 London Mathematical Society lecture note series ;|0https:/
/id.loc.gov/authorities/names/n42015587|v289.
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
search.ebscohost.com/login.aspx?direct=true&scope=site&
db=nlebk&AN=552338|zOnline eBook. Access restricted to
current Rider University students, faculty, and staff.
856 42 |3Instructions for reading/downloading this eBook|uhttp://
guides.rider.edu/ebooks/ebsco
901 MARCIVE 20231220
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994 92|bRID
