Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator
Keyword(s):
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domainΩ. We prove the regularity and exponential growth of a pullback attractor in the spaceS02(Ω)∩L2p−2(Ω)for the nonautonomous dynamical system associated to the problem. The obtained results seem to be optimal and, in particular, improve and extend some recent results on pullback attractors for reaction-diffusion equations in bounded domains.
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1995 ◽
Vol 350
(1694)
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pp. 335-360
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Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1994 ◽
Vol 348
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pp. 229-260
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