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Square roots of perturbed subelliptic operators on Lie groups

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dc.contributor.authorBandara, Lashi
dc.contributor.authorter Elst, A. F. M.
dc.contributor.authorMcIntosh, Alan
dc.date.accessioned2016-06-16T01:57:13Z
dc.date.available2016-06-16T01:57:13Z
dc.date.issued2013
dc.description.abstractWe solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators with complex bounded coefficients, which may have lower order terms. In this general setting we deduce inhomogeneous estimates. In case the group is nilpotent and the subelliptic operator is pure second order, we prove stronger homogeneous estimates. Furthermore, we prove Lipschitz stability of the estimates under small perturbations of the coefficients.en_AU
dc.description.sponsorshipThe authors appreciate the support of the Centre for Mathematics and its Applications at the Australian National University, Canberra, where this project was begun, the Department of Mathematics at the University of Auckland, and the Department of Mathematics, University of Missouri, where it was continued. The first author was supported through an Australian Postgraduate Award, through the Mathematical Sciences Institute, Australian National University, Canberra, and an Australian-American Fulbright Scholarship. The second and third authors were supported by the Marsden Fund Council from N.Z. Government funding, administered by the Royal Society of New Zealand. The third author gratefully acknowledges support from the Australian Government through the Australian Research Council.en_AU
dc.identifier.issn0039-3223en_AU
dc.identifier.urihttp://hdl.handle.net/1885/104126
dc.publisherPolska Akademia Nauk (Polish Academy of Sciences)en_AU
dc.rights© Instytut Matematyczny PAN, 2013en_AU
dc.sourceStudia Mathematicaen_AU
dc.titleSquare roots of perturbed subelliptic operators on Lie groupsen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue3en_AU
local.bibliographicCitation.lastpage217en_AU
local.bibliographicCitation.startpage193en_AU
local.contributor.affiliationBandara, Lashitha, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationter Elst, A F M, University of Auckland, New Zealanden_AU
local.contributor.affiliationMcIntosh, Alan, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidu4566105en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010110en_AU
local.identifier.absfor010108en_AU
local.identifier.absseo970101en_AU
local.identifier.ariespublicationf5625xPUB3944en_AU
local.identifier.citationvolume216en_AU
local.identifier.doi10.4064/sm216-3-1en_AU
local.publisher.urlhttps://www.impan.pl/enen_AU
local.type.statusPublished Versionen_AU

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