Optimal three-ball inequalities and quantitative uniqueness for the Stokes system

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dc.creatorLin, Ching-Lung
dc.creatorWang, Jenn-Nan
dc.date2008-12-19
dc.date.accessioned2026-07-07T12:20:51Z
dc.date.available2026-07-07T12:20:51Z
dc.descriptionIn this paper we study the local behavior of a solution to the Stokes system with singular coefficients. One of the main results is the bound on the vanishing order of a nontrivial solution to the Stokes system, which is a quantitative version of the strong unique continuation property. Our proof relies on some delicate Carleman-type estimates. We first use these estimates to derive crucial \emph{optimal} three-ball inequalities. Taking advantage of the optimality, we then derive an upper bound on the vanishing order of any nontrivial solution to the Stokes system from those three-ball inequalities.
dc.identifierhttps://arxiv.org/abs/0812.3730
dc.identifierhttp://arxiv.org/abs/0812.3730
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213188
dc.subjectAnalysis of PDEs
dc.titleOptimal three-ball inequalities and quantitative uniqueness for the Stokes system
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