Regularity of solutions of the fractional porous medium flow

Details Regularity of solutions of the fractional porous medium flow Regularity of solutions of the fractional porous medium flow

2012-01-29

arxiv.org/abs/1201.6048v1

Mathematics

Analysis of PDEs

55 pages, 2 figures

Scientific paper

We study a porous medium equation with nonlocal diffusion effects given by an inverse fractional Laplacian operator. More precisely, $$ u_t=\nabla\cdot(u\nabla (-\Delta)^{-s}u), \quad \ 0

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