@article{Zheng2025, 
author = {Shanshan Zheng and Li Yang},
title = {Continuity and analyticity for a generalized two-component short pulse system},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {10},
pages = {23958-23983},
keywords = {local well-posedness, Hölder continuous, Gevrey regularity and analyticity},
url = {https://www.sciopen.com/article/10.3934/math.20251065},
doi = {10.3934/math.20251065},
abstract = {In this paper, we first established the local well-posedness of the generalized short pulse system in the critical Besov space        B          2      ,      1                      3        2              (      T    ), improving upon the local well-posedness result obtained in [S. Yu, X. Yin, J. Math. Anal. Appl., 475 (2019), 1427–1447]. We then proved that the solution map was Hölder continuous in        B          2      ,      r              μ        (      T    ). Finally, by a generalized Ovsyannikov theorem combined with fundamental properties of Sobolev-Gevrey spaces, we established the Gevrey regularity and analyticity of solutions and further obtained a lower bound of the lifespan and the continuity of the data-to-solution map.}
}