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

Xiangxing Tao. "Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields." Studia Mathematica 151.1 (2002): 31-48. <http://eudml.org/doc/284870>.

@article{XiangxingTao2002,
abstract = {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.},
author = {Xiangxing Tao},
journal = {Studia Mathematica},
keywords = {Dini domains; Lipschitz domains; Kato's potential},
language = {eng},
number = {1},
pages = {31-48},
title = {Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields},
url = {http://eudml.org/doc/284870},
volume = {151},
year = {2002},
}

TY - JOUR
AU - Xiangxing Tao
TI - Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields
JO - Studia Mathematica
PY - 2002
VL - 151
IS - 1
SP - 31
EP - 48
AB - 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.
LA - eng
KW - Dini domains; Lipschitz domains; Kato's potential
UR - http://eudml.org/doc/284870
ER -