On asymptotically autonomous dynamics for multivalued evolution problems

Jacson Simsen; Mariza Stefanello Simsen

doi:10.3934/dcdsb.2018278

Article Contents

2019, Volume 24, Issue 8: 3557-3567. Doi: 10.3934/dcdsb.2018278

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On asymptotically autonomous dynamics for multivalued evolution problems

Jacson Simsen^, and
Mariza Stefanello Simsen

Instituto de Matemática e Computação, Universidade Federal de Itajubá, 37500-903 - Itajubá - Minas Gerais, Brazil

* Corresponding author: Jacson Simsen, jacson@unifei.edu.br
* Corresponding author: Jacson Simsen, jacson@unifei.edu.br

Dedicated to Peter E. Kloeden on occasion of his 70th birthday

Received: January 31, 2018

Revised: May 31, 2018

Early access: October 2018

Published: July 2019

This work has been partially supported by FAPEMIG (Brazil) - processes PPM 00329-16 and CEX-APQ-00814-16

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Abstract

In this work we improve the result presented by Kloeden-Simsen-Stefanello Simsen in [8] by reducing uniform conditions. We prove theoretical results in order to establish convergence in the Hausdorff semi-distance of the component subsets of the pullback attractor of a non-autonomous multivalued problem to the global attractor of the corresponding autonomous multivalued problem.

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Mathematics Subject Classification: Primary: 35K55, 35K92; Secondary: 35A16, 35B40, 35B41, 37L30.

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References

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