Supersolutions and stabilization of the solutions of the equation ?u/?t - div(|Ñp|p-2 Ñu) = h(x,u), Part II

• Autores: A. El Hachimi, François de Thélin
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 35, Nº 2, 1991, págs. 347-362
• Idioma: inglés
• DOI: 10.5565/publmat_35291_03
• Títulos paralelos:
  • Supersoluciones y estabilización de la ecuación ?u/?t - div(|Ñp|p-2 Ñu) = h(x,u), Parte II
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• Resumen

  • In this paper we consider a nonlinear parabolic equation of the following type:

    (P) ?u/?t - div(|Ñp|p-2 Ñu) = 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 ? +8, the solution of (P) converges to some solution of the elliptic equation associated with (P).