Geodesic
Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 191-200

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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.
DOI : 10.5817/AM2023-2-191
Classification : 26A12, 34C10
Keywords: parabolic equations; attractor; stability 
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     title = {Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory},
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Kapustyan, Oleksiy; Kapustian, Olena; Stanzytskyi, Oleksandr; Korol, Ihor. Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 191-200. doi: 10.5817/AM2023-2-191

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