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A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation. (English) Zbl 1203.35040
The authors consider the optimal decay estimates on the solutions of the Cauchy problem of the Cahn-Hilliard equation. It is shown that such a Cauchy problem admits a unique global smooth solution provided that the smooth nonlinear function satisfies a local growth condition.
Reviewer: Jiaqi Mo (Wuhu)

##### MSC:
 35B40 Asymptotic behavior of solutions to PDEs 35K30 Initial value problems for higher-order parabolic equations 35K58 Semilinear parabolic equations
##### Keywords:
Sobolev’s inequality; global smooth solutions
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##### References:
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