Non-autonomous problem for a $2m$-th order semilinear nonlocal parabolic equation

TL;DR

This paper investigates the existence and characterization of pullback attractors for a class of non-autonomous, high-order semilinear nonlocal parabolic equations, extending to autonomous cases.

Contribution

It provides new results on the existence and structure of pullback attractors for complex high-order non-autonomous parabolic equations.

Findings

Existence of pullback attractors under growth and regularity conditions

Characterization of attractors for non-autonomous equations

Extension to autonomous high-order parabolic equations

Abstract

In this paper we consider a $2m$-th order non autonomous quasilinear parabolic equation. Under suitable conditions of growth and regularity for the nonlinear functions present in the model, we prove a result of existence and characterization of pullback attractors. Moreover, we consider an autonomous version from the $2m$-th order non autonomous quasilinear parabolic equation in question.