Electron. J. Diff. Eqns., Vol. 2000(2000), No. 68, pp. 1-12.

Regularity of the interface for the porous medium equation

Youngsang Ko

Abstract:
We establish the interface equation and prove the $C^{\infty}$ 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.

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Youngsang Ko
Department of Mathematics
Kyonggi University
Suwon, Kyonggi-do, 442-760, Korea
e-mail: ysgo@kuic.kyonggi.ac.kr

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