Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields

作者：Tao XX^*

来源：Studia Mathematica, 2002, 151(1): 31-48.

DOI：10.4064/sm151-1-3

• doubling property
• unique continuation at the boundary
• Lipschitz domains
• Kato's potential

Let a be a solution to a second order elliptic equation with singular magnetic fields, vanishing continuously on an open subset Gamma of the boundary of a Lipschitz domain. An elementary proof of the doubling property for mu(2) over balls centered at some points near Gamma is presented. Moreover, we get the unique continuation at the boundary of Dini domains for elliptic operators.

• 出版日期2002
• 单位宁波大学