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

Abderrahmane El Hachimi; François De Thélin

Publicacions Matemàtiques (1991)

- Volume: 35, Issue: 2, page 347-362
- ISSN: 0214-1493

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topEl 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 < p < 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 < p < 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 -

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