Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u), Part II.

El Hachimi, Abderrahmane, and De Thélin, François. "Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u), Part II.." Publicacions Matemàtiques 35.2 (1991): 347-362. <http://eudml.org/doc/41696>.

@article{ElHachimi1991,
abstract = {In this paper we consider a nonlinear parabolic equation of the following type:(P)      ∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u)with Dirichlet boundary conditions and initial data in the case when 1 &lt; p &lt; 2.We construct supersolutions of (P), and by use of them, we prove that for tn → +∞, the solution of (P) converges to some solution of the elliptic equation associated with (P).},
author = {El Hachimi, Abderrahmane, De Thélin, François},
journal = {Publicacions Matemàtiques},
keywords = {supersolutions; existence; asymptotic behaviour; initial value-boundary value problem; nonlinear parabolic equation; comparison principle; regularisation; stabilisation},
language = {eng},
number = {2},
pages = {347-362},
title = {Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u), Part II.},
url = {http://eudml.org/doc/41696},
volume = {35},
year = {1991},
}

TY - JOUR
AU - El Hachimi, Abderrahmane
AU - De Thélin, François
TI - Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u), Part II.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 347
EP - 362
AB - In this paper we consider a nonlinear parabolic equation of the following type:(P)      ∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u)with Dirichlet boundary conditions and initial data in the case when 1 &lt; p &lt; 2.We construct supersolutions of (P), and by use of them, we prove that for tn → +∞, the solution of (P) converges to some solution of the elliptic equation associated with (P).
LA - eng
KW - supersolutions; existence; asymptotic behaviour; initial value-boundary value problem; nonlinear parabolic equation; comparison principle; regularisation; stabilisation
UR - http://eudml.org/doc/41696
ER -