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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_5817_AM2023_2_191,
     author = {Kapustyan, Oleksiy and Kapustian, Olena and Stanzytskyi, Oleksandr and Korol, Ihor},
     title = {Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory},
     journal = {Archivum mathematicum},
     pages = {191--200},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {2023},
     doi = {10.5817/AM2023-2-191},
     mrnumber = {4563031},
     zbl = {07675589},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-191/}
}
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
SP  - 191
EP  - 200
VL  - 59
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-191/
DO  - 10.5817/AM2023-2-191
LA  - en
ID  - 10_5817_AM2023_2_191
ER  - 
%0 Journal Article
%A Kapustyan, Oleksiy
%A Kapustian, Olena
%A Stanzytskyi, Oleksandr
%A Korol, Ihor
%T Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory
%J Archivum mathematicum
%D 2023
%P 191-200
%V 59
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-191/
%R 10.5817/AM2023-2-191
%G en
%F 10_5817_AM2023_2_191
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. http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-191/

Cité par Sources :