Non-autonomous perturbations of a non-classical non-autonomous parabolic equation with subcritical nonlinearity

• Autores: Matheus C. Bortolan, Felipe Rivero
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 2, Nº. 1, 2017, págs. 31-60
• Idioma: español
• DOI: 10.21042/amns.2017.1.00004
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• Resumen

  • In this work we study the continuity of four different notions of {\it asymptotic behavior} for a family of non-autonomous non-classical parabolic equations given by {ut−γ(t)Δut−Δu=gϵ(t,u), in Ωu=0, on ∂Ω. in a smooth bounded domain Ω⊂Rn, n⩾3, where the terms gϵ are a small perturbation, in some sense, of a function f that depends only on u.