Regularity of solutions of the fractional porous medium flow
Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1701-1746
Cet article a éte moissonné depuis la source EMS Press
We study a porous medium equation with nonlocal diffusion effects given by an inverse fractional Laplacian operator. The precise model is
Classification :
35-XX, 76-XX, 00-XX
Keywords: Porous medium equation, fractional Laplacian, nonlocal operator, regularity
Keywords: Porous medium equation, fractional Laplacian, nonlocal operator, regularity
@article{JEMS_2013_15_5_a3,
author = {Luis A. Caffarelli and Fernando Soria and Juan Luis V\'azquez},
title = {Regularity of solutions of the fractional porous medium flow},
journal = {Journal of the European Mathematical Society},
pages = {1701--1746},
year = {2013},
volume = {15},
number = {5},
doi = {10.4171/jems/401},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/401/}
}
TY - JOUR AU - Luis A. Caffarelli AU - Fernando Soria AU - Juan Luis Vázquez TI - Regularity of solutions of the fractional porous medium flow JO - Journal of the European Mathematical Society PY - 2013 SP - 1701 EP - 1746 VL - 15 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/401/ DO - 10.4171/jems/401 ID - JEMS_2013_15_5_a3 ER -
%0 Journal Article %A Luis A. Caffarelli %A Fernando Soria %A Juan Luis Vázquez %T Regularity of solutions of the fractional porous medium flow %J Journal of the European Mathematical Society %D 2013 %P 1701-1746 %V 15 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/401/ %R 10.4171/jems/401 %F JEMS_2013_15_5_a3
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
Cité par Sources :