@article{Lu2024, 
author = {Chenchen Lu and Lin Chen and Shaoyong Lai},
title = {Local well-posedness and blow-up criterion to a nonlinear shallow water wave equation},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {1199-1210},
keywords = {shallow water wave equation, local well-posedness, blow-up criterion, Besov space},
url = {https://www.sciopen.com/article/10.3934/math.2024059},
doi = {10.3934/math.2024059},
abstract = {The initial data problem to a nonlinear shallow water wave equation in nonhomogeneous Besov space is discussed. Using the decomposition of Littlewood-Paley and the properties of nonhomogeneous Besov space, we establish the well-posedness of short time solutions for the equation in the Besov space. A blow-up criterion of solutions is also obtained.}
}