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

Kapustyan, Oleksiy   ; Kapustian, Olena   ; Stanzytskyi, Oleksandr   ; Korol, Ihor

Archivum mathematicum, Tome 59 (2023) no. 2, pp. 191-200

Abstract (VO)

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.

Détail

DOI : 10.5817/AM2023-2-191

Classification : 26A12, 34C10
Keywords: parabolic equations; attractor; stability

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