@Article{JMS-53-3,
author = {Xiao, Weiliang and Zhou, Xuhuan},
title = {On the Generalized Porous Medium Equation in Fourier-Besov Spaces},
journal = {Journal of Mathematical Study},
year = {2020},
volume = {53},
number = {3},
pages = {316--328},
abstract = {<p style="text-align: justify;">We study a kind of generalized porous medium equation with fractional Laplacian and abstract pressure term. For a large class of equations corresponding to the form: $u_t+\nu \Lambda^{\beta}u=\nabla\cdot(u\nabla Pu)$, we get their local well-posedness in Fourier-Besov spaces for large initial data. If the initial data is small, then the solution becomes global. Furthermore, we prove a blowup criterion for the solutions.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v53n3.20.05},
url = {https://global-sci.com/article/87703/on-the-generalized-porous-medium-equation-in-fourier-besov-spaces}
}