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<p>In this paper, we consider a 2<i>m</i>-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 2<i>m</i>-th order non-autonomous quasilinear parabolic equation in question.</p>

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Non-autonomous problem for a 2m-th order semilinear non-local parabolic equation

  • 期刊论文

  • 发表日期：

    2026年1月27日

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  • Flank D. M. Bezerra,
  • Silvia Sastre-Gomez

摘要

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.