Bull. Austral. Math. Soc. 72(1) pp.67--85, 2005.
Boundary unique continuation theorems under zero Neumann boundary conditions
Xiangxing Tao |
Songyan Zhang |
The work of the first author is supported by National
Nature Science Foundation of China (No. 10471069), and Zhejiang
Provincial Natural Science Foundation of China (No. 102066).
The second author is supported by Scientific Research Fund of
Zhejiang Provincial Education Department (No. 20040962) and
Doctoral Foundation of Ningbo City (No. 2004A610003).
Abstract
Let u be a
solution to a second order elliptic equation with singular
potentials belonging to the Kato-Fefferman-Phong's class in
Lipschitz domains. We prove the boundary unique continuation
theorems and the doubling properties for u2 near the boundary under the zero
Neumann boundary condition.
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[an error occurred while processing this directive]| (Metadata: XML, RSS, BibTeX) | MathSciNet: MR2162295 | Z'blatt-MATH: 02212187 |
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