\(C^{\infty}\) 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 $C^{\infty}$.
@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},
year = {1999},
volume = {1999},
zbl = {0933.35110},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a100/}
}
TY - JOUR
AU - Ham, Yoonmi
AU - Ko, Youngsang
TI - \(C^{\infty}\) interfaces of solutions for one-dimensional parabolic \(p\)-Laplacian equations
JO - Electronic journal of differential equations
PY - 1999
VL - 1999
UR - http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a100/
LA - en
ID - EJDE_1999__1999__a100
ER -
%0 Journal Article
%A Ham, Yoonmi
%A Ko, Youngsang
%T \(C^{\infty}\) interfaces of solutions for one-dimensional parabolic \(p\)-Laplacian equations
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a100/
%G en
%F EJDE_1999__1999__a100
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/