Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory

Oleksiy Kapustyan; Olena Kapustian; Oleksandr Stanzytskyi; Ihor Korol

Archivum Mathematicum (2023)

  • Volume: 059, Issue: 2, page 191-200
  • ISSN: 0044-8753

Abstract

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In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system.

How to cite

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Kapustyan, Oleksiy, et al. "Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory." Archivum Mathematicum 059.2 (2023): 191-200. <http://eudml.org/doc/298987>.

@article{Kapustyan2023,
abstract = {In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system.},
author = {Kapustyan, Oleksiy, Kapustian, Olena, Stanzytskyi, Oleksandr, Korol, Ihor},
journal = {Archivum Mathematicum},
keywords = {parabolic equations; attractor; stability},
language = {eng},
number = {2},
pages = {191-200},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory},
url = {http://eudml.org/doc/298987},
volume = {059},
year = {2023},
}

TY - JOUR
AU - Kapustyan, Oleksiy
AU - Kapustian, Olena
AU - Stanzytskyi, Oleksandr
AU - Korol, Ihor
TI - Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 059
IS - 2
SP - 191
EP - 200
AB - In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system.
LA - eng
KW - parabolic equations; attractor; stability
UR - http://eudml.org/doc/298987
ER -

References

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