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

• Autorzy: Xiangxing Tao
• Języki publikacji: EN

Abstrakty

EN

Let u be a solution to a second order elliptic equation with singular magnetic fields, vanishing continuously on an open subset Γ of the boundary of a Lipschitz domain. An elementary proof of the doubling property for u² over balls centered at some points near Γ is presented. Moreover, we get the unique continuation at the boundary of Dini domains for elliptic operators.

Kategorie tematyczne

• 35J10: Schr\"odinger operator
• 35B60: Continuation and prolongation of solutions
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 151
• Numer: 1
• Strony: 31-48

Daty

wydano

2002

Twórcy

autor

Xiangxing Tao

• Department of Mathematics, Ningbo University, Ningbo, Zhejiang, 315211, P.R. China

Identyfikatory

DOI

10.4064/sm151-1-3