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

Matheus C. Bortolan, Felipe Rivero

• 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.