@article{68c2565046b1438db5468bd57af9878b,
title = "Propagation property and application to inverse scattering for fractional powers of negative laplacian",
abstract = "The propagation estimate for the usual free Schr{\"o}dinger operator established by Enss in 1983, was successfully used by Enss and Weder in inverse scattering in 1995. This approach has been called the Enss-Weder time-dependent method. We derive the same type of estimate but for fractional powers of the negative Laplacian and apply it in inverse scattering. It is found that the high-velocity limit of the scattering operator uniquely determines the short-range interactions.",
keywords = "Fractional Laplacian, Inverse problem, Scattering theory",
author = "Atsuhide Ishida",
note = "Funding Information: This work was supported by the Grant-in-Aid for Young Scientists (B) #16K17633 from JSPS. Moreover, the author would like to thank the late Professor Hitoshi Kitada for many valuable discussions and comments. Publisher Copyright: {\textcopyright} 2020 Global-Science Press.",
year = "2020",
month = feb,
doi = "10.4208/eajam.050319.110619",
language = "English",
volume = "10",
pages = "106--122",
journal = "East Asian Journal on Applied Mathematics",
issn = "2079-7362",
publisher = "Global Science Press",
number = "1",
}