A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation (Q994337)
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scientific article; zbMATH DE number 5787117
| Language | Label | Description | Also known as |
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| English | A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation |
scientific article; zbMATH DE number 5787117 |
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A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation (English)
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17 September 2010
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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.
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Sobolev's inequality
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global smooth solutions
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