Quantitative uniqueness for the power of Laplacian with singular coefficients
Analysis of PDEs
2008-03-10 v1
Abstract
In this paper we study the local behavior of a solution to the 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.
Cite
@article{arxiv.0803.1012,
title = {Quantitative uniqueness for the power of Laplacian with singular coefficients},
author = {Ching-Lung Lin and Sei Nagayasu and Jenn-Nan Wang},
journal= {arXiv preprint arXiv:0803.1012},
year = {2008}
}
Comments
18 pages