@inbook{39db6da448c54bd5b169532435ae8f81,
title = "Strong uniqueness for Dirichlet operators with singular potentials",
abstract = "We study the problem of strong uniqueness in L2 for the Dirichlet operator perturbed by a singular complex-valued potential. We reveal sufficient conditions on the logarithmic derivative {\ss} of the measure pdx and the potential q, which ensure that the operator \textbackslash{}((\textbackslash{}Delta + \textbackslash{}beta \textbackslash{}cdot\textbackslash{}nabla - q) \textbackslash{}upharpoonright C\_0 \textasciicircum{}\textbackslash{}infty (\textbackslash{}mathbb\{R\}\textasciicircum{}d ) \textbackslash{}) has a unique extension generating a C0-semigroup on L2. The method of a-priori estimates of solutions of the corresponding elliptic equations is employed.",
author = "V Liskevich and O Us",
note = "Publisher: Birkhauser",
year = "2001",
doi = "10.1007/978-3-0348-8231-6\_24",
language = "English",
isbn = "9783034894838",
series = "Operator Theory: Advances and Applications",
publisher = "Birkh{\"a}user Basel",
pages = "215--221",
booktitle = "Partial Differential Equations and Spectral Theory",
address = "Switzerland",
}