On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators
2011 ◽
Vol 2011
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pp. 1-27
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Keyword(s):
We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullbackD-attractor in(L2(Ω))mfor the corresponding process in the general case. When the system has a special gradient structure, we prove that the obtained pullbackD-attractor is more regular and has a finite fractal dimension. The obtained results, in particular, extend and improve some existing ones for the reaction-diffusion equations and the Grushin equations.
Keyword(s):
2012 ◽
Vol 14
(01)
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pp. 1250007
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2012 ◽
Vol 13
(3)
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pp. 1401-1415
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Keyword(s):
Keyword(s):
1996 ◽
Vol 85
(1-2)
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pp. 179-191
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Keyword(s):