Geodesic
Regularity of solutions of the fractional porous medium flow
Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1701-1746.

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We study a porous medium equation with nonlocal diffusion effects given by an inverse fractional Laplacian operator. The precise model is
DOI : 10.4171/jems/401
Classification : 35-XX, 76-XX, 00-XX
Keywords: Porous medium equation, fractional Laplacian, nonlocal operator, regularity 
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     title = {Regularity of solutions of the fractional porous medium flow},
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Luis A. Caffarelli; Fernando Soria; Juan Luis Vázquez. Regularity of solutions of the fractional porous medium flow. Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1701-1746. doi : 10.4171/jems/401. http://geodesic.mathdoc.fr/articles/10.4171/jems/401/

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