Attractors for general operators
Applications of Mathematics, Tome 48 (2003) no. 1, pp. 31-47
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In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua.
DOI :
10.1023/A:1022902903988
Classification :
35B41, 37L30
Keywords: global attractor; minimal attractor; exponential attractor; weakly coupled system
Keywords: global attractor; minimal attractor; exponential attractor; weakly coupled system
@article{10_1023_A_1022902903988,
author = {Miranville, Alain},
title = {Attractors for general operators},
journal = {Applications of Mathematics},
pages = {31--47},
publisher = {mathdoc},
volume = {48},
number = {1},
year = {2003},
doi = {10.1023/A:1022902903988},
mrnumber = {1954502},
zbl = {1099.37060},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022902903988/}
}
Miranville, Alain. Attractors for general operators. Applications of Mathematics, Tome 48 (2003) no. 1, pp. 31-47. doi: 10.1023/A:1022902903988
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