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Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary

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Author(s):
Lopez-Lazaro, Heraclio ; Nascimento, Marcelo J. D. ; Rubio, Obidio
Total Authors: 3
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 225, p. 35-pg., 2022-08-15.
Abstract

In this article we study a semilinear mathematical model with delay term for thermal conduction problems defined on a one-dimensional moving boundary domain. The goals of this work are to prove existence, regularity, and finite fractal dimension of the pullback attractors on tempered universes that depends on a non-increasing function eta : R -> (0, +infinity). (C) 2022 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 19/26841-8 - Study of non-autonomous semilinear parabolic and hyperbolic problems
Grantee:Marcelo José Dias Nascimento
Support Opportunities: Regular Research Grants
FAPESP's process: 21/01931-4 - Pullback attractor for non-linear parabolic equations with subdifferential principal part
Grantee:Heraclio Ledgar López Lázaro
Support Opportunities: Scholarships in Brazil - Post-Doctoral