Ching-Lung Lin, Sei Nagayasu, Jenn-Nan Wang
Published 2008-03-07Version 1
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.
Quantitative uniqueness of solutions to parabolic equations
Deterministic homogenization of elliptic equations with lower order terms
The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity
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