一类带扩散项的分数次多孔介质方程在Besov空间中的适定性

Wellposedness of solutions of a fractional porous medium flow with diffusion in Besov spaces

本文介绍了一类带扩散项的分数次多孔介质方程,利用合适的交换子估计,给出了方程在Besov空间中的先验估计.利用此估计,本文证明了方程小初值解的整体适定性和大初值的局部适定性.

A priori estimate of the fractional porous medium equation with diffusion in Besov space is given in this paper.As an application of this estimate,the global well-posedness for the small initial data and local well-posedness for the large initial data are proved.