Geodesic
\(C^{\infty}\) interfaces of solutions for one-dimensional parabolic \(p\)-Laplacian equations
Electronic journal of differential equations, Tome 1999 (1999)
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__a2,
     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},
     year = {1999},
     volume = {1999},
     zbl = {0933.35110},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a2/}
}
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JO  - Electronic journal of differential equations
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VL  - 1999
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%A Ko,  Youngsang
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%J Electronic journal of differential equations
%D 1999
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%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a2/
%G en
%F EJDE_1999__1999__a2
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__a2/