Abstract
In this paper, we consider the generalized porous medium equation. For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the Littlewood-Paley decomposition technique. Furthermore, we also show Gevrey class regularity of the solution.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference41 articles.
1. Well-posedness and blowup criterion of generalized porous medium equation in Besov spaces;Zhou;Electron. J. Differ. Equ.,2015
2. Nonlinear Porous Medium Flow with Fractional Potential Pressure
3. On the Generalized Porous Medium Equation in Fourier-Besov Spaces;Xiao;J. Math. Study,2020
4. The Porous Medium Equation: Mathematical Theory;Vázquez,2007
5. Dynamics of Fluids in Porous Media;Bear,2013
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