Weak Solutions of the Porous Medium Equation

Bjorn E. J. Dahlberg, Carlos E. Kenig
1993 Transactions of the American Mathematical Society  
We show that if u > 0, u£ ¿,"c(ß), ß C R"+1 solves du/dt = Aum , m > 1, in the sense of distributions, then u is locally Holder continuous in £2.
doi:10.2307/2154372 fatcat:lp5fzdtvlffahlztbphct5v3um