Geodesic
Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields
Xiangxing Tao1
1 Department of Mathematics Ningbo University Ningbo, Zhejiang, 315211, P.R. China
Studia Mathematica, Tome 151 (2002) no. 1, pp. 31-48

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $u$ be a solution to a second order elliptic equation with singular magnetic fields, vanishing continuously on an open subset ${\mit \Gamma }$ of the boundary of a Lipschitz domain. An elementary proof of the doubling property for $u^2$ over balls centered at some points near ${\mit \Gamma }$ is presented. Moreover, we get the unique continuation at the boundary of Dini domains for elliptic operators.
DOI : 10.4064/sm151-1-3
Keywords: solution second order elliptic equation singular magnetic fields vanishing continuously subset mit gamma boundary lipschitz domain elementary proof doubling property balls centered points near mit gamma presented moreover get unique continuation boundary dini domains elliptic operators

Xiangxing Tao 1

1 Department of Mathematics Ningbo University Ningbo, Zhejiang, 315211, P.R. China 
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Xiangxing Tao. Doubling properties and unique
 continuation at the boundary for elliptic
 operators with singular magnetic fields. Studia Mathematica, Tome 151 (2002) no. 1, pp. 31-48. doi: 10.4064/sm151-1-3

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