Quantitative uniqueness for the power of Laplacian with singular coefficients

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dc.creatorLin, Ching-Lung
dc.creatorNagayasu, Sei
dc.creatorWang, Jenn-Nan
dc.date2008-03-07
dc.date.accessioned2026-07-07T09:25:37Z
dc.date.available2026-07-07T09:25:37Z
dc.descriptionIn this paper we study the local behavior of a solution to the $l$th power of Laplacian with singular coefficients in lower order terms. We obtain a bound on the vanishing order of the nontrivial solution. Our proofs use Carleman estimates with carefully chosen weights. We will derive appropriate three-sphere inequalities and apply them to obtain doubling inequalities and the maximal vanishing order.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0803.1012
dc.identifierhttp://arxiv.org/abs/0803.1012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156461
dc.subjectAnalysis of PDEs
dc.titleQuantitative uniqueness for the power of Laplacian with singular coefficients
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