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

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Hauptverfasser: Bezerra, Flank D. M., Sastre-Gómez, Silvia
Format: Preprint
Veröffentlicht: 2025
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_version_ 1866915413855567872
author Bezerra, Flank D. M.
Sastre-Gómez, Silvia
author_facet Bezerra, Flank D. M.
Sastre-Gómez, Silvia
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_20257
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-autonomous problem for a $2m$-th order semilinear nonlocal parabolic equation
Bezerra, Flank D. M.
Sastre-Gómez, Silvia
Analysis of PDEs
35J62, 35K59, 37C60, 35B41, 35J35
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.
title Non-autonomous problem for a $2m$-th order semilinear nonlocal parabolic equation
topic Analysis of PDEs
35J62, 35K59, 37C60, 35B41, 35J35
url https://arxiv.org/abs/2507.20257