@article{4158386c6ed649de954177e299386d78,
title = "Inverse source problem related to one-dimensional Saint-Venant equation",
abstract = "The one-dimensional Saint-Venant equation describes unsteady water flow in channels and is derived from the one-dimensional Euler equation by imposing several physical assumptions. In this paper, we consider the linearized and simplified equation in the one-dimensional case featuring a mixed derivative term and prove the global Lipschitz stability of the inverse source problem via the global Carleman estimate.",
author = "Hiroshi Takase",
note = "Funding Information: This work was supported by JSPS and RFBR under the Japan-Russia Research Cooperative Program (project No. J19-721). The author would like to thank Professor Masahiro Yamamoto (The University of Tokyo) for many valuable discussions and comments. The author also thank anonymous referees for invaluable comments and Glenn Pennycook, NSc, from Edanz Group (www.edanzediting.com/ac) for editing a draft for this manuscript. Publisher Copyright: {\textcopyright} 2020 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.",
year = "2022",
doi = "10.1080/00036811.2020.1727893",
language = "English",
volume = "101",
pages = "35--47",
journal = "Applicable Analysis",
issn = "0003-6811",
publisher = "Taylor and Francis Ltd.",
number = "1",
}