We show that locally bounded solutions of the inhomogeneous porous medium equation (Formaula preseneted.) m>1 are locally Hölder continuous, with exponent (Formaula preseneted.) where α0 denotes the optimal Hölder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling.
|Original language||English (US)|
|Number of pages||13|
|Journal||Journal d'Analyse Mathematique|
|State||Published - Mar 1 2020|