Regularity of solutions of the fractional porous medium flow
Luis Caffarelli, Fernando Soria, Juan Luis Vázquez (2013)
Journal of the European Mathematical Society
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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 . The problem is posed in with nonnegative initial data that are integrable and decay at infinity. A previous paper has established the existence of mass-preserving, nonnegative weak solutions satisfying energy estimates and finite propagation. As main results we establish the boundedness and regularity of such weak solutions. Finally, we extend...