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Quantitative unique continuation for Neumann problems of elliptic equations with weight

✍ Scribed by Xiangxing Tao

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 183 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1200

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✦ Synopsis

Abstract

Let P(ω, ∇) be an elliptic operator with weight ω, and let u be a solution in some Lipschitz domains to −P(ω, ∇u)+W∇u+Vu=0 with sharp singular potentials W and V. The weighted doubling estimates, the weighted three‐ball inequalities and the unique continuation at the boundary for solution u of the Neumann problem are established in this paper. Copyright © 2009 John Wiley & Sons, Ltd.

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