@article{20531db716d04f9b811a7b7e53a436a5,
title = "Resolvent and spectral measure for Schr{\"o}dinger operators on flat Euclidean cones",
abstract = "We construct the Schwartz kernel of resolvent and spectral measure for Schr{\"o}dinger operators on the flat Euclidean cone (X,g), where X=C(Sσ1)=(0,∞)×Sσ1 is a product cone over the circle, Sσ1=R/2πσZ, with radius σ>0 and the metric g=dr2+r2dθ2. As products, we prove the dispersive estimates for the Schr{\"o}dinger and half-wave propagators in this setting.",
keywords = "Dispersive estimates, Flat cone, Resolvent kernel, Spectral measure",
author = "Junyong Zhang",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2022",
month = feb,
day = "1",
doi = "10.1016/j.jfa.2021.109311",
language = "English",
volume = "282",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "3",
}