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arXiv · 0803.1012

Quantitative uniqueness for the power of Laplacian with singular coefficients

Ching-Lung Lin·Sei Nagayasu·Jenn-Nan Wang
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Abstract

In 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.

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Ching-Lung Lin, Sei Nagayasu, Jenn-Nan Wang. 2008-03-07. Quantitative uniqueness for the power of Laplacian with singular coefficients. https://arxiv.org/abs/0803.1012

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