Electronic Journal of Differential Equations, Vol. 2000(2000), No. 68, pp. 1-12. Title: Regularity of the interface for the porous medium equation Author: Youngsang Ko (Kyonggi Univ., Suwon, Korea) Abstract: We establish the interface equation and prove the C-infinity regularity of the interface for the porous medium equation whose solution is radial symmetry. Submitted October 7, 2000. Published November 13, 2000. Math Subject Classifications: 35K65. Key Words: porous medium; radial symmetry; interface; C-infinity regularity.