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Pullback exponential attractors for nonautonomous equations. Part I: Semilinear parabolic problems.
J. Math. Anal. Appl. 381, 748-765 (2011)
A family of compact and positively invariant sets with uniformly bounded fractal dimension which at a uniform exponential rate pullback attract bounded subsets of the phase space under the process is constructed. The existence of such a family, called a pullback exponential attractor, is proved for a nonautonomous semilinear abstract parabolic Cauchy problem. Specific examples will be presented in the forthcoming Part II of this work.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Exponential attractor; Pullback attractor; Fractal dimension; Nonautonomous dynamical systems
ISSN (print) / ISBN
0022-247X
e-ISSN
1096-0813
Quellenangaben
Band: 381,
Heft: 2,
Seiten: 748-765
Verlag
Elsevier
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)