- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:41
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
2
1986
4
Optimal Regularity for One-Dimensional Porous Medium Flow
D.
Aronson
University of Minnesota, MINNEAPOLIS, UNITED STATES
Luis
Caffarelli
University of Texas at Austin, AUSTIN, UNITED STATES
We give a new proof of the Lipschitz continuity with respect to $t$ of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal $t$-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.
General
357
366
10.4171/RMI/38
http://www.ems-ph.org/doi/10.4171/RMI/38