Supersolutions and stabilization of the solutions of the equation: (∂u/∂t) - div(|∇u|p-2∇u)=f(x,u)

Nonlinear Analysis

Volumn 12, Issue 12, 1988, Pages 1385-1398

  El Hachimi, Abderrahmane ^a   De Thélin, François ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

asymptotic behaviour; comparison principle; Existence; regularizing effect; supersolutions

Indexed keywords

EID: 3042550676     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(88)90086-7     Document Type: Article

References (14)

1. Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems
2. Comportement asymptotique de la solution d'une E.D.P. parabolique non linéaire
3. Stabilization of solutions on nonlinear and degenerate evolution equations
4. On the existence of bounded solutions for nonlinear evolution equation of parabolic type
5. On some regularizing and decay estimates for nonlinear diffusion equations
6. On certain second order ordinary differential equations associated with Sobolev-Poincaré-type inequalities
7. Régularité de la solution d'un problème aux limites non linéaires
8. Principe de comparaison et solutions à support compact pour une E.D.P. parabolique non linéaire
9. Quelques résultats d'existence et de non existence pour une E.D.P. elliptique non linéaire
10. Existence and non existence of global solutions of nonlinear parabolic equations
11. Uniqueness of nonnegative solutions for elliptic nonlinear diffusion equation with a general perturbation term