Optimal three-ball inequalities and quantitative uniqueness for the lamé system with lipschitz coefficients

Ching-Lung Lin, Gen Nakamura, Jenn Nan Wang

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this article we study the local behavior of a solution to the Lamé system with Lipschitz coefficients in dimension n ≥ 2. Our main result is the bound on the vanishing order of a nontrivial solution, which immediately implies the strong unique continuation property (SUCP). We solve the open problem of the SUCP for the Lamé system with Lipschitz coefficients in any dimension.

Original languageEnglish
Pages (from-to)189-204
Number of pages16
JournalDuke Mathematical Journal
Volume155
Issue number1
DOIs
Publication statusPublished - 2010 Oct 1

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Unique Continuation
Lipschitz
Ball
Uniqueness
Coefficient
Nontrivial Solution
Immediately
Open Problems
Imply

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Optimal three-ball inequalities and quantitative uniqueness for the lamé system with lipschitz coefficients. / Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn Nan.

In: Duke Mathematical Journal, Vol. 155, No. 1, 01.10.2010, p. 189-204.

Research output: Contribution to journalArticle

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