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Positivity and strong ellipticity

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dc.contributor.authorter Elst, A. F. M.
dc.contributor.authorRobinson, Derek W.
dc.contributor.authorZhu, Yueping
dc.date.accessioned2016-03-15T23:38:00Z
dc.date.available2016-03-15T23:38:00Z
dc.date.issued2006-09-28
dc.date.updated2016-06-14T08:54:22Z
dc.description.abstractWe consider partial differential operators H = − div(C∇) in divergence form on Rᵈ with a positive-semidefinite, symmetric, matrix C of real L∞-coefficients, and establish that H is strongly elliptic if and only if the associated semigroup kernel satisfies local lower bounds, or, if and only if the kernel satisfies Gaussian upper and lower bounds.
dc.description.sponsorshipThis work was carried out while the first author was visiting the Centre for Mathematics and its Applications at the Australian National University. He thanks the Australian Research Council for its support and the CMA for its hospitality. The third author was an ARC Research Associate for the duration of the collaboration.en_AU
dc.identifier.issn0002-9939en_AU
dc.identifier.urihttp://hdl.handle.net/1885/100432
dc.publisherAmerican Mathematical Society
dc.rights© 2005 American Mathematical Society
dc.sourceProceedings of the American Mathematical Society
dc.subjectElliptic operator
dc.subjectsemigroup
dc.subjectkernel
dc.subjectupper bounds
dc.subjectlower bounds
dc.titlePositivity and strong ellipticity
dc.typeJournal article
local.bibliographicCitation.issue03en_AU
local.bibliographicCitation.lastpage715en_AU
local.bibliographicCitation.startpage707en_AU
local.contributor.affiliationter Elst, A, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationRobinson, Derek, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationZhu, Yue, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidu901009en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010102en_AU
local.identifier.ariespublicationu3488905xPUB88en_AU
local.identifier.citationvolume134en_AU
local.identifier.doi10.1090/S0002-9939-05-08180-3en_AU
local.identifier.scopusID2-s2.0-33644780616
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusPublished Versionen_AU

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