Geodesic
$C^{\infty}$ interfaces of solutions for one-dimensional parabolic $p$-Laplacian equations
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the regularity of a moving interface $x = \zeta (t)$ of the solutions for the initial value problem $u_t = \left(|u_x|^{p-2}u_x \right)_xu(x,0) =u_0 (x)$, where $u_0\in L^1({\Bbb R})$ and $p greater than 2$. We prove that each side of the moving interface is $C^{\infty}$.
Classification : 35K65
Keywords: p-Laplacian, free boundary 
@article{EJDE_1999__1999__a100,
     author = {Ham, Yoonmi and Ko, Youngsang},
     title = {$C^{\infty}$ interfaces of solutions for one-dimensional parabolic $p${-Laplacian} equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a100/}
}
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Ham, Yoonmi; Ko, Youngsang. $C^{\infty}$ interfaces of solutions for one-dimensional parabolic $p$-Laplacian equations. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a100/