Square roots of perturbed subelliptic operators on Lie groups

Lashi Bandara, A. F. M. ter Elst, and Alan McIntosh. "Square roots of perturbed subelliptic operators on Lie groups." Studia Mathematica 216.3 (2013): 193-217. <http://eudml.org/doc/285817>.

@article{LashiBandara2013,
abstract = {We solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators with complex bounded coefficients, which may have lower order terms. In this general setting we deduce inhomogeneous estimates. In case the group is nilpotent and the subelliptic operator is pure second order, we prove stronger homogeneous estimates. Furthermore, we prove Lipschitz stability of the estimates under small perturbations of the coefficients.},
author = {Lashi Bandara, A. F. M. ter Elst, Alan McIntosh},
journal = {Studia Mathematica},
keywords = {Kato problem; subelliptic operators; Lie groups},
language = {eng},
number = {3},
pages = {193-217},
title = {Square roots of perturbed subelliptic operators on Lie groups},
url = {http://eudml.org/doc/285817},
volume = {216},
year = {2013},
}

TY - JOUR
AU - Lashi Bandara
AU - A. F. M. ter Elst
AU - Alan McIntosh
TI - Square roots of perturbed subelliptic operators on Lie groups
JO - Studia Mathematica
PY - 2013
VL - 216
IS - 3
SP - 193
EP - 217
AB - We solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators with complex bounded coefficients, which may have lower order terms. In this general setting we deduce inhomogeneous estimates. In case the group is nilpotent and the subelliptic operator is pure second order, we prove stronger homogeneous estimates. Furthermore, we prove Lipschitz stability of the estimates under small perturbations of the coefficients.
LA - eng
KW - Kato problem; subelliptic operators; Lie groups
UR - http://eudml.org/doc/285817
ER -